LMFDB - Embedded newform 930.2.bo.b.179.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(179,930)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 15, 13]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("930.179");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bo (of order $30$, degree $8$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$256$
Relative dimension:	$32$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			179.15
Character	$\chi$	$=$	930.179
Dual form			930.2.bo.b.239.15

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 - 0.951057i) q^{2} +(-0.198005 - 1.72070i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.703473 + 2.12253i) q^{5} +(-1.57529 + 0.720038i) q^{6} +(-0.478693 + 1.07516i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.92159 + 0.681412i) q^{9} +O(q^{10})$	\(q+(-0.309017 - 0.951057i) q^{2} +(-0.198005 - 1.72070i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.703473 + 2.12253i) q^{5} +(-1.57529 + 0.720038i) q^{6} +(-0.478693 + 1.07516i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.92159 + 0.681412i) q^{9} +(1.80126 - 1.32494i) q^{10} +(-0.0215496 - 0.205030i) q^{11} +(1.17159 + 1.27569i) q^{12} +(-4.02101 - 4.46579i) q^{13} +(1.17046 + 0.123021i) q^{14} +(3.51293 - 1.63073i) q^{15} +(0.309017 - 0.951057i) q^{16} +(2.76184 + 0.290281i) q^{17} +(1.55088 + 2.56803i) q^{18} +(-5.16703 + 5.73856i) q^{19} +(-1.81671 - 1.30367i) q^{20} +(1.94481 + 0.610798i) q^{21} +(-0.188336 + 0.0838528i) q^{22} +(-0.00908797 + 0.0125085i) q^{23} +(0.851210 - 1.50846i) q^{24} +(-4.01025 + 2.98628i) q^{25} +(-3.00466 + 5.20422i) q^{26} +(1.75099 + 4.89224i) q^{27} +(-0.244694 - 1.15119i) q^{28} +(2.52776 + 7.77964i) q^{29} +(-2.63648 - 2.83707i) q^{30} +(2.12127 + 5.14783i) q^{31} -1.00000 q^{32} +(-0.348528 + 0.0776773i) q^{33} +(-0.577382 - 2.71637i) q^{34} +(-2.61881 - 0.259692i) q^{35} +(1.96309 - 2.26854i) q^{36} +(-0.852298 - 1.47622i) q^{37} +(7.05440 + 3.14082i) q^{38} +(-6.88809 + 7.80319i) q^{39} +(-0.678469 + 2.13065i) q^{40} +(-1.27121 + 5.98059i) q^{41} +(-0.0200763 - 2.03837i) q^{42} +(-4.62218 + 5.13345i) q^{43} +(0.137948 + 0.153207i) q^{44} +(-3.50157 - 5.72180i) q^{45} +(0.0147046 + 0.00477783i) q^{46} +(-0.319895 + 0.984536i) q^{47} +(-1.69767 - 0.343410i) q^{48} +(3.75709 + 4.17267i) q^{49} +(4.07936 + 2.89116i) q^{50} +(-0.0473722 - 4.80977i) q^{51} +(5.87799 + 1.24941i) q^{52} +(1.79512 + 4.03190i) q^{53} +(4.11171 - 3.17708i) q^{54} +(0.420023 - 0.189973i) q^{55} +(-1.01924 + 0.588456i) q^{56} +(10.8974 + 7.75462i) q^{57} +(6.61775 - 4.80808i) q^{58} +(-2.43672 - 11.4639i) q^{59} +(-1.88350 + 3.38414i) q^{60} -7.41104i q^{61} +(4.24037 - 3.60822i) q^{62} +(0.665916 - 3.46737i) q^{63} +(0.309017 + 0.951057i) q^{64} +(6.65009 - 11.6763i) q^{65} +(0.181577 + 0.307466i) q^{66} +(-5.19611 - 2.99998i) q^{67} +(-2.40500 + 1.38853i) q^{68} +(0.0233228 + 0.0131609i) q^{69} +(0.562275 + 2.57089i) q^{70} +(-5.28252 - 11.8647i) q^{71} +(-2.76414 - 1.16599i) q^{72} +(1.61610 + 15.3761i) q^{73} +(-1.14060 + 1.26676i) q^{74} +(5.93253 + 6.30913i) q^{75} +(0.807169 - 7.67970i) q^{76} +(0.230757 + 0.0749774i) q^{77} +(9.54981 + 4.13964i) q^{78} +(0.886172 + 0.0931405i) q^{79} +(2.23603 - 0.0131452i) q^{80} +(8.07136 - 3.98161i) q^{81} +(6.08071 - 0.639108i) q^{82} +(-2.15789 + 10.1521i) q^{83} +(-1.93240 + 0.648985i) q^{84} +(1.32675 + 6.06630i) q^{85} +(6.31053 + 2.80963i) q^{86} +(12.8859 - 5.88991i) q^{87} +(0.103080 - 0.178540i) q^{88} +(1.19702 - 0.869686i) q^{89} +(-4.35971 + 5.09833i) q^{90} +(6.72628 - 2.18550i) q^{91} -0.0154614i q^{92} +(8.43783 - 4.66936i) q^{93} +1.03520 q^{94} +(-15.8151 - 6.93023i) q^{95} +(0.198005 + 1.72070i) q^{96} +(-4.64404 - 6.39198i) q^{97} +(2.80744 - 4.86263i) q^{98} +(0.202669 + 0.584331i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{30}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$3$	−0.198005	−	1.72070i	−0.114318	−	0.993444i
$3$	−0.198005	−	1.72070i	−0.114318	−	0.993444i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	0.703473	+	2.12253i	0.314603	+	0.949223i
$5$	0.703473	+	2.12253i	0.314603	+	0.949223i
$6$	−1.57529	+	0.720038i	−0.643110	+	0.293954i
$7$	−0.478693	+	1.07516i	−0.180929	+	0.406373i	−0.981127	−	0.193362i	$-0.938061\pi$
$7$	−0.478693	+	1.07516i	−0.180929	+	0.406373i	0.800198	+	0.599735i	$0.204727\pi$
$8$	0.809017	+	0.587785i	0.286031	+	0.207813i
$9$	−2.92159	+	0.681412i	−0.973863	+	0.227137i
$10$	1.80126	−	1.32494i	0.569608	−	0.418983i
$11$	−0.0215496	−	0.205030i	−0.00649744	−	0.0618190i	0.990793	−	0.135387i	$-0.0432279\pi$
$11$	−0.0215496	−	0.205030i	−0.00649744	−	0.0618190i	−0.997290	+	0.0735685i	$0.976561\pi$
$12$	1.17159	+	1.27569i	0.338209	+	0.368259i
$13$	−4.02101	−	4.46579i	−1.11523	−	1.23859i	−0.968394	−	0.249426i	$-0.919758\pi$
$13$	−4.02101	−	4.46579i	−1.11523	−	1.23859i	−0.146835	−	0.989161i	$-0.546909\pi$
$14$	1.17046	+	0.123021i	0.312820	+	0.0328787i
$15$	3.51293	−	1.63073i	0.907036	−	0.421054i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	2.76184	+	0.290281i	0.669845	+	0.0704036i	0.433345	−	0.901228i	$-0.357333\pi$
$17$	2.76184	+	0.290281i	0.669845	+	0.0704036i	0.236500	+	0.971631i	$0.424000\pi$
$18$	1.55088	+	2.56803i	0.365546	+	0.605290i
$19$	−5.16703	+	5.73856i	−1.18540	+	1.31652i	−0.247792	+	0.968813i	$0.579705\pi$
$19$	−5.16703	+	5.73856i	−1.18540	+	1.31652i	−0.937605	+	0.347704i	$0.886962\pi$
$20$	−1.81671	−	1.30367i	−0.406229	−	0.291510i
$21$	1.94481	+	0.610798i	0.424393	+	0.133287i
$22$	−0.188336	+	0.0838528i	−0.0401535	+	0.0178775i
$23$	−0.00908797	+	0.0125085i	−0.00189497	+	0.00260821i	−0.809963	−	0.586480i	$-0.800513\pi$
$23$	−0.00908797	+	0.0125085i	−0.00189497	+	0.00260821i	0.808068	+	0.589089i	$0.200513\pi$
$24$	0.851210	−	1.50846i	0.173753	−	0.307912i
$25$	−4.01025	+	2.98628i	−0.802050	+	0.597256i
$26$	−3.00466	+	5.20422i	−0.589262	+	1.02063i
$27$	1.75099	+	4.89224i	0.336978	+	0.941512i
$28$	−0.244694	−	1.15119i	−0.0462428	−	0.217555i
$29$	2.52776	+	7.77964i	0.469393	+	1.44464i	0.853373	+	0.521301i	$0.174553\pi$
$29$	2.52776	+	7.77964i	0.469393	+	1.44464i	−0.383980	+	0.923341i	$0.625447\pi$
$30$	−2.63648	−	2.83707i	−0.481353	−	0.517977i
$31$	2.12127	+	5.14783i	0.380992	+	0.924578i
$31$	2.12127	+	5.14783i	0.380992	+	0.924578i
$32$	−1.00000			−0.176777
$33$	−0.348528	+	0.0776773i	−0.0606710	+	0.0135219i
$34$	−0.577382	−	2.71637i	−0.0990203	−	0.465854i
$35$	−2.61881	−	0.259692i	−0.442660	−	0.0438960i
$36$	1.96309	−	2.26854i	0.327182	−	0.378090i
$37$	−0.852298	−	1.47622i	−0.140117	−	0.242690i	0.787424	−	0.616412i	$-0.211414\pi$
$37$	−0.852298	−	1.47622i	−0.140117	−	0.242690i	−0.927540	+	0.373723i	$0.878081\pi$
$38$	7.05440	+	3.14082i	1.14437	+	0.509508i
$39$	−6.88809	+	7.80319i	−1.10298	+	1.24951i
$40$	−0.678469	+	2.13065i	−0.107275	+	0.336886i
$41$	−1.27121	+	5.98059i	−0.198530	+	0.934012i	0.760199	+	0.649691i	$0.225102\pi$
$41$	−1.27121	+	5.98059i	−0.198530	+	0.934012i	−0.958729	+	0.284321i	$0.908232\pi$
$42$	−0.0200763	−	2.03837i	−0.00309784	−	0.314528i
$43$	−4.62218	+	5.13345i	−0.704875	+	0.782843i	−0.984144	−	0.177369i	$-0.943241\pi$
$43$	−4.62218	+	5.13345i	−0.704875	+	0.782843i	0.279269	+	0.960213i	$0.409908\pi$
$44$	0.137948	+	0.153207i	0.0207964	+	0.0230968i
$45$	−3.50157	−	5.72180i	−0.521984	−	0.852955i
$46$	0.0147046	+	0.00477783i	0.00216808	+	0.000704452i
$47$	−0.319895	+	0.984536i	−0.0466615	+	0.143609i	−0.971673	−	0.236330i	$-0.924055\pi$
$47$	−0.319895	+	0.984536i	−0.0466615	+	0.143609i	0.925011	+	0.379940i	$0.124055\pi$
$48$	−1.69767	−	0.343410i	−0.245037	−	0.0495670i
$49$	3.75709	+	4.17267i	0.536727	+	0.596095i
$50$	4.07936	+	2.89116i	0.576908	+	0.408872i
$51$	−0.0473722	−	4.80977i	−0.00663344	−	0.673502i
$52$	5.87799	+	1.24941i	0.815131	+	0.173261i
$53$	1.79512	+	4.03190i	0.246579	+	0.553824i	0.993855	−	0.110689i	$-0.0353056\pi$
$53$	1.79512	+	4.03190i	0.246579	+	0.553824i	−0.747277	+	0.664513i	$0.768639\pi$
$54$	4.11171	−	3.17708i	0.559533	−	0.432346i
$55$	0.420023	−	0.189973i	0.0566360	−	0.0256159i
$56$	−1.01924	+	0.588456i	−0.136201	+	0.0786357i
$57$	10.8974	+	7.75462i	1.44340	+	1.02712i
$58$	6.61775	−	4.80808i	0.868954	−	0.631332i
$59$	−2.43672	−	11.4639i	−0.317234	−	1.49247i	−0.790999	−	0.611817i	$-0.790439\pi$
$59$	−2.43672	−	11.4639i	−0.317234	−	1.49247i	0.473765	−	0.880651i	$-0.342895\pi$
$60$	−1.88350	+	3.38414i	−0.243159	+	0.436891i
$61$		−	7.41104i		−	0.948887i	−0.880286	−	0.474443i	$-0.842649\pi$
$61$		−	7.41104i		−	0.948887i	0.880286	−	0.474443i	$-0.157351\pi$
$62$	4.24037	−	3.60822i	0.538528	−	0.458244i
$63$	0.665916	−	3.46737i	0.0838975	−	0.436847i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	6.65009	−	11.6763i	0.824842	−	1.44826i
$66$	0.181577	+	0.307466i	0.0223505	+	0.0378465i
$67$	−5.19611	−	2.99998i	−0.634806	−	0.366506i	0.147805	−	0.989017i	$-0.452779\pi$
$67$	−5.19611	−	2.99998i	−0.634806	−	0.366506i	−0.782611	+	0.622511i	$0.786113\pi$
$68$	−2.40500	+	1.38853i	−0.291649	+	0.168384i
$69$	0.0233228	+	0.0131609i	0.00280774	+	0.00158438i
$70$	0.562275	+	2.57089i	0.0672047	+	0.307280i
$71$	−5.28252	−	11.8647i	−0.626919	−	1.40808i	−0.895602	−	0.444855i	$-0.853255\pi$
$71$	−5.28252	−	11.8647i	−0.626919	−	1.40808i	0.268683	−	0.963229i	$-0.413412\pi$
$72$	−2.76414	−	1.16599i	−0.325757	−	0.137414i
$73$	1.61610	+	15.3761i	0.189150	+	1.79964i	0.518127	+	0.855304i	$0.326629\pi$
$73$	1.61610	+	15.3761i	0.189150	+	1.79964i	−0.328977	+	0.944338i	$0.606704\pi$
$74$	−1.14060	+	1.26676i	−0.132592	+	0.147258i
$75$	5.93253	+	6.30913i	0.685030	+	0.728515i
$76$	0.807169	−	7.67970i	0.0925886	−	0.880922i
$77$	0.230757	+	0.0749774i	0.0262972	+	0.00854447i
$78$	9.54981	+	4.13964i	1.08130	+	0.468722i
$79$	0.886172	+	0.0931405i	0.0997022	+	0.0104791i	0.154248	−	0.988032i	$-0.450704\pi$
$79$	0.886172	+	0.0931405i	0.0997022	+	0.0104791i	−0.0545460	+	0.998511i	$0.517371\pi$
$80$	2.23603	−	0.0131452i	0.249996	−	0.00146967i
$81$	8.07136	−	3.98161i	0.896817	−	0.442401i
$82$	6.08071	−	0.639108i	0.671502	−	0.0705777i
$83$	−2.15789	+	10.1521i	−0.236859	+	1.11433i	0.685522	+	0.728052i	$0.259574\pi$
$83$	−2.15789	+	10.1521i	−0.236859	+	1.11433i	−0.922381	+	0.386282i	$0.873759\pi$
$84$	−1.93240	+	0.648985i	−0.210842	+	0.0708101i
$85$	1.32675	+	6.06630i	0.143906	+	0.657982i
$86$	6.31053	+	2.80963i	0.680482	+	0.302970i
$87$	12.8859	−	5.88991i	1.38151	−	0.631464i
$88$	0.103080	−	0.178540i	0.0109884	−	0.0190324i
$89$	1.19702	−	0.869686i	0.126884	−	0.0921865i	−0.522533	−	0.852619i	$-0.675013\pi$
$89$	1.19702	−	0.869686i	0.126884	−	0.0921865i	0.649417	+	0.760432i	$0.275013\pi$
$90$	−4.35971	+	5.09833i	−0.459554	+	0.537411i
$91$	6.72628	−	2.18550i	0.705106	−	0.229103i
$92$		−	0.0154614i		−	0.00161196i
$93$	8.43783	−	4.66936i	0.874963	−	0.484190i
$94$	1.03520			0.106773
$95$	−15.8151	−	6.93023i	−1.62260	−	0.711027i
$96$	0.198005	+	1.72070i	0.0202088	+	0.175618i
$97$	−4.64404	−	6.39198i	−0.471531	−	0.649007i	0.505319	−	0.862933i	$-0.331375\pi$
$97$	−4.64404	−	6.39198i	−0.471531	−	0.649007i	−0.976850	+	0.213926i	$0.931375\pi$
$98$	2.80744	−	4.86263i	0.283594	−	0.491200i
$99$	0.202669	+	0.584331i	0.0203690	+	0.0587274i
$100$	1.48907	−	4.77312i	0.148907	−	0.477312i
$101$	−5.39152	+	7.42079i	−0.536477	+	0.738397i	−0.988100	−	0.153812i	$-0.950845\pi$
$101$	−5.39152	+	7.42079i	−0.536477	+	0.738397i	0.451624	+	0.892209i	$0.350845\pi$
$102$	−4.55972	+	1.53135i	−0.451480	+	0.151627i
$103$	1.58761	−	7.46914i	0.156432	−	0.735956i	−0.828076	−	0.560616i	$-0.810564\pi$
$103$	1.58761	−	7.46914i	0.156432	−	0.735956i	0.984508	−	0.175340i	$-0.0561024\pi$
$104$	−0.628144	−	5.97639i	−0.0615946	−	0.586034i
$105$	0.0716859	+	4.55760i	0.00699582	+	0.444776i
$106$	3.27985	−	2.95319i	0.318567	−	0.286839i
$107$	−0.0344939	+	0.328188i	−0.00333465	+	0.0317271i	−0.996063	−	0.0886516i	$-0.971744\pi$
$107$	−0.0344939	+	0.328188i	−0.00333465	+	0.0317271i	0.992728	+	0.120379i	$0.0384109\pi$
$108$	−4.29217	−	2.92870i	−0.413014	−	0.281814i
$109$	−4.15789	+	12.7967i	−0.398254	+	1.22570i	0.528145	+	0.849154i	$0.322888\pi$
$109$	−4.15789	+	12.7967i	−0.398254	+	1.22570i	−0.926399	+	0.376544i	$0.877112\pi$
$110$	−0.310469	−	0.340761i	−0.0296021	−	0.0324903i
$111$	−2.37137	+	1.75884i	−0.225081	+	0.166942i
$112$	0.874616	+	0.787508i	0.0826434	+	0.0744125i
$113$	−0.200827	−	1.91074i	−0.0188922	−	0.179748i	0.981007	−	0.193975i	$-0.0621379\pi$
$113$	−0.200827	−	1.91074i	−0.0188922	−	0.179748i	−0.999899	+	0.0142270i	$0.995471\pi$
$114$	4.00759	−	12.7604i	0.375345	−	1.19512i
$115$	−0.0329428	−	0.0104901i	−0.00307193	−	0.000978204i
$116$	−6.61775	−	4.80808i	−0.614443	−	0.446419i
$117$	14.7908	+	10.3072i	1.36741	+	0.952904i
$118$	−10.1498	+	5.85999i	−0.934365	+	0.539456i
$119$	−1.63418	+	2.83047i	−0.149805	+	0.259469i
$120$	3.80054	+	0.745560i	0.346941	+	0.0680600i
$121$	10.7181	−	2.27819i	0.974368	−	0.207108i
$122$	−7.04832	+	2.29014i	−0.638125	+	0.207339i
$123$	10.5425	+	1.00319i	0.950584	+	0.0904543i
$124$	−4.74197	−	2.91783i	−0.425841	−	0.262029i
$125$	−9.15957	−	6.41110i	−0.819257	−	0.573427i
$126$	−3.50344	+	0.438153i	−0.312112	+	0.0390337i
$127$	−8.56210	+	1.81993i	−0.759764	+	0.161493i	−0.571473	−	0.820621i	$-0.693628\pi$
$127$	−8.56210	+	1.81993i	−0.759764	+	0.161493i	−0.188290	+	0.982113i	$0.560295\pi$
$128$	0.809017	−	0.587785i	0.0715077	−	0.0519534i
$129$	9.74832	+	6.93691i	0.858291	+	0.610761i
$130$	−13.1598	−	2.71644i	−1.15419	−	0.238248i
$131$	5.89522	−	13.2409i	0.515068	−	1.15686i	−0.449561	−	0.893249i	$-0.648420\pi$
$131$	5.89522	−	13.2409i	0.515068	−	1.15686i	0.964629	−	0.263611i	$-0.0849137\pi$
$132$	0.236308	−	0.267702i	0.0205679	−	0.0233005i
$133$	−3.69647	−	8.30240i	−0.320524	−	0.719910i
$134$	−1.24746	+	5.86884i	−0.107764	+	0.506991i
$135$	−9.15215	+	7.15809i	−0.787691	+	0.616070i
$136$	2.06376	+	1.85821i	0.176966	+	0.159340i
$137$	0.130368	−	0.117384i	0.0111381	−	0.0100288i	−0.663543	−	0.748138i	$-0.730948\pi$
$137$	0.130368	−	0.117384i	0.0111381	−	0.0100288i	0.674681	+	0.738110i	$0.264281\pi$
$138$	0.00530960	−	0.0262483i	0.000451983	−	0.00223440i
$139$	−16.1754	−	5.25570i	−1.37198	−	0.445782i	−0.471953	−	0.881624i	$-0.656451\pi$
$139$	−16.1754	−	5.25570i	−1.37198	−	0.445782i	−0.900024	+	0.435841i	$0.856451\pi$
$140$	2.27130	−	1.32920i	0.191960	−	0.112338i
$141$	1.75743	+	0.355499i	0.148002	+	0.0299384i
$142$	−9.65164	+	8.69037i	−0.809947	+	0.729280i
$143$	−0.828972	+	0.920667i	−0.0693221	+	0.0769900i
$144$	−0.254759	+	2.98916i	−0.0212299	+	0.249097i
$145$	−14.7343	+	10.8380i	−1.22362	+	0.900047i
$146$	14.1242	−	6.28849i	1.16893	−	0.520439i
$147$	6.43597	−	7.29101i	0.530830	−	0.601353i
$148$	1.55723	+	0.693321i	0.128003	+	0.0569907i
$149$	18.5454	−	10.7072i	1.51930	−	0.877167i	0.519556	−	0.854436i	$-0.326097\pi$
$149$	18.5454	−	10.7072i	1.51930	−	0.877167i	0.999742	−	0.0227310i	$-0.00723612\pi$
$150$	4.16708	−	7.59180i	0.340241	−	0.619868i
$151$	0.914208	+	1.25830i	0.0743972	+	0.102399i	0.844594	−	0.535408i	$-0.179842\pi$
$151$	0.914208	+	1.25830i	0.0743972	+	0.102399i	−0.770197	+	0.637806i	$0.779842\pi$
$152$	−7.55325	+	1.60549i	−0.612650	+	0.130223i
$153$	−8.26677	+	1.03387i	−0.668329	+	0.0835835i
$154$		−	0.242632i		−	0.0195518i
$155$	−9.43417	+	8.12382i	−0.757770	+	0.652521i
$156$	0.985977	−	10.3616i	0.0789413	−	0.829594i
$157$	−18.4508	+	5.99503i	−1.47253	+	0.478455i	−0.931873	−	0.362785i	$-0.881826\pi$
$157$	−18.4508	+	5.99503i	−1.47253	+	0.478455i	−0.540661	+	0.841240i	$0.681826\pi$
$158$	−0.185260	−	0.871582i	−0.0147385	−	0.0693393i
$159$	6.58224	−	3.88719i	0.522005	−	0.308274i
$160$	−0.703473	−	2.12253i	−0.0556144	−	0.167801i
$161$	−0.00909834	−	0.0157588i	−0.000717049	−	0.00124197i
$162$	−6.28092	−	6.44593i	−0.493476	−	0.506440i
$163$	−2.80991	+	3.86751i	−0.220089	+	0.302927i	−0.904757	−	0.425929i	$-0.859947\pi$
$163$	−2.80991	+	3.86751i	−0.220089	+	0.302927i	0.684668	+	0.728856i	$0.259947\pi$
$164$	−2.48687	−	5.58560i	−0.194192	−	0.436162i
$165$	−0.410052	−	0.685117i	−0.0319225	−	0.0533363i
$166$	10.3220	−	1.08489i	0.801143	−	0.0842036i
$167$	3.75091	+	3.37734i	0.290254	+	0.261346i	0.801374	−	0.598163i	$-0.204103\pi$
$167$	3.75091	+	3.37734i	0.290254	+	0.261346i	−0.511120	+	0.859509i	$0.670769\pi$
$168$	1.21437	+	1.63728i	0.0936905	+	0.126319i
$169$	−2.41584	+	22.9852i	−0.185834	+	1.76809i
$170$	5.35940	−	3.13640i	0.411047	−	0.240551i
$171$	11.1856	−	20.2866i	0.855384	−	1.55135i
$172$	0.722055	−	6.86989i	0.0550562	−	0.523825i
$173$	15.0687	+	16.7354i	1.14565	+	1.27237i	0.956923	+	0.290343i	$0.0937694\pi$
$173$	15.0687	+	16.7354i	1.14565	+	1.27237i	0.188727	+	0.982030i	$0.439564\pi$
$174$	−9.58359	−	10.4351i	−0.726530	−	0.791084i
$175$	−1.29106	−	5.74118i	−0.0975948	−	0.433993i
$176$	−0.201655	−	0.0428630i	−0.0152003	−	0.00323092i
$177$	−19.2433	+	6.46276i	−1.44642	+	0.485770i
$178$	−1.19702	−	0.869686i	−0.0897204	−	0.0651857i
$179$	−14.5780	−	6.49055i	−1.08961	−	0.485127i	−0.218313	−	0.975879i	$-0.570055\pi$
$179$	−14.5780	−	6.49055i	−1.08961	−	0.485127i	−0.871299	+	0.490752i	$0.836722\pi$
$180$	6.19602	+	2.57086i	0.461824	+	0.191620i
$181$	19.1079	+	11.0320i	1.42028	+	0.820000i	0.996323	−	0.0856819i	$-0.0273069\pi$
$181$	19.1079	+	11.0320i	1.42028	+	0.820000i	0.423959	+	0.905682i	$0.360640\pi$
$182$	−4.15707	−	5.72172i	−0.308143	−	0.424122i
$183$	−12.7521	+	1.46742i	−0.942666	+	0.108475i
$184$	−0.0147046	+	0.00477783i	−0.00108404	+	0.000352226i
$185$	2.53376	−	2.84751i	0.186285	−	0.209353i
$186$	−7.04826	−	6.58195i	−0.516804	−	0.482612i
$187$		−	0.572518i		−	0.0418666i
$188$	−0.319895	−	0.984536i	−0.0233307	−	0.0718046i
$189$	−6.09814	−	0.459282i	−0.443575	−	0.0334079i
$190$	−1.70390	+	17.1826i	−0.123614	+	1.24656i
$191$	1.20489	+	0.695642i	0.0871825	+	0.0503349i	0.542957	−	0.839760i	$-0.317304\pi$
$191$	1.20489	+	0.695642i	0.0871825	+	0.0503349i	−0.455775	+	0.890095i	$0.650638\pi$
$192$	1.57529	−	0.720038i	0.113687	−	0.0519643i
$193$	3.47479	−	7.80450i	0.250121	−	0.561780i	−0.744230	−	0.667923i	$-0.767183\pi$
$193$	3.47479	−	7.80450i	0.250121	−	0.561780i	0.994351	+	0.106143i	$0.0338501\pi$
$194$	−4.64404	+	6.39198i	−0.333423	+	0.458917i
$195$	−21.4081	−	9.13082i	−1.53306	−	0.653872i
$196$	−5.49218	−	1.16740i	−0.392299	−	0.0833856i
$197$	−4.33015	+	0.455117i	−0.308510	+	0.0324257i	−0.257519	−	0.966273i	$-0.582905\pi$
$197$	−4.33015	+	0.455117i	−0.308510	+	0.0324257i	−0.0509916	+	0.998699i	$0.516238\pi$
$198$	0.493103	−	0.373318i	0.0350433	−	0.0265306i
$199$	−14.3551	+	12.9254i	−1.01760	+	0.916255i	−0.996506	−	0.0835229i	$-0.973383\pi$
$199$	−14.3551	+	12.9254i	−1.01760	+	0.916255i	−0.0210979	+	0.999777i	$0.506716\pi$
$200$	−4.99965	+	0.0587859i	−0.353529	+	0.00415679i
$201$	−4.13319	+	9.53494i	−0.291533	+	0.672543i
$202$	8.72367	+	2.83449i	0.613795	+	0.199434i
$203$	−9.57439	−	1.00631i	−0.671991	−	0.0706290i
$204$	2.86544	+	3.86334i	0.200621	+	0.270488i
$205$	−13.5882	+	1.50900i	−0.949044	+	0.105393i
$206$	−7.59417	+	0.798180i	−0.529111	+	0.0556118i
$207$	0.0180278	−	0.0427374i	0.00125302	−	0.00297045i
$208$	−5.48978	+	2.44421i	−0.380648	+	0.169475i
$209$	1.28793	+	0.935734i	0.0890878	+	0.0647261i
$210$	4.31238	−	1.47655i	0.297582	−	0.101892i
$211$	−5.76648	−	9.98783i	−0.396981	−	0.687591i	0.596371	−	0.802709i	$-0.296609\pi$
$211$	−5.76648	−	9.98783i	−0.396981	−	0.687591i	−0.993352	+	0.115118i	$0.963275\pi$
$212$	−3.82217	−	2.20673i	−0.262508	−	0.151559i
$213$	−19.3696	+	11.4389i	−1.32718	+	0.783779i
$214$	0.322784	−	0.0686099i	0.0220651	−	0.00469008i
$215$	−14.1475	−	6.19946i	−0.964849	−	0.422800i
$216$	−1.45901	+	4.98711i	−0.0992728	+	0.339330i
$217$	−6.55020	−	0.183520i	−0.444656	−	0.0124581i
$218$	13.4552			0.911302
$219$	26.1377	−	5.82536i	1.76622	−	0.393642i
$220$	−0.228143	+	0.400575i	−0.0153814	+	0.0270068i
$221$	−9.80908	−	13.5010i	−0.659830	−	0.908178i
$222$	2.40555	+	1.71180i	0.161450	+	0.114888i
$223$	−6.21411	−	10.7632i	−0.416127	−	0.720754i	0.579419	−	0.815030i	$-0.303280\pi$
$223$	−6.21411	−	10.7632i	−0.416127	−	0.720754i	−0.995546	+	0.0942762i	$0.969946\pi$
$224$	0.478693	−	1.07516i	0.0319840	−	0.0718373i
$225$	9.68142	−	11.4573i	0.645428	−	0.763821i
$226$	−1.75516	+	0.781450i	−0.116752	+	0.0519813i
$227$	1.59674	+	0.339397i	0.105979	+	0.0225266i	0.260596	−	0.965448i	$-0.416081\pi$
$227$	1.59674	+	0.339397i	0.105979	+	0.0225266i	−0.154617	+	0.987975i	$0.549414\pi$
$228$	−13.3742	+	0.131725i	−0.885731	+	0.00872371i
$229$	0.951407	+	0.856651i	0.0628707	+	0.0566091i	0.699967	−	0.714175i	$-0.253198\pi$
$229$	0.951407	+	0.856651i	0.0628707	+	0.0566091i	−0.637096	+	0.770784i	$0.719865\pi$
$230$	0.000203242		0.0345721i	1.34014e−5		0.00227962i
$231$	0.0833224	−	0.411908i	0.00548221	−	0.0271016i
$232$	−2.52776	+	7.77964i	−0.165955	+	0.510758i
$233$	7.39816	−	22.7692i	0.484669	−	1.49166i	−0.347790	−	0.937573i	$-0.613068\pi$
$233$	7.39816	−	22.7692i	0.484669	−	1.49166i	0.832459	−	0.554087i	$-0.186932\pi$
$234$	5.23215	−	17.2520i	0.342036	−	1.12780i
$235$	−2.31474	+	0.0136079i	−0.150997	+	0.000887681i
$236$	8.70964	+	7.84220i	0.566949	+	0.510483i
$237$	−0.0152000	−	1.54328i	−0.000987345	−	0.100247i
$238$	3.19693	+	0.679528i	0.207226	+	0.0440473i
$239$	3.35805	−	1.49510i	0.217214	−	0.0967100i	−0.295245	−	0.955422i	$-0.595401\pi$
$239$	3.35805	−	1.49510i	0.217214	−	0.0967100i	0.512459	+	0.858712i	$0.328735\pi$
$240$	−0.465363	−	3.84492i	−0.0300391	−	0.248189i
$241$	8.62299	−	19.3676i	0.555456	−	1.24757i	−0.389696	−	0.920943i	$-0.627420\pi$
$241$	8.62299	−	19.3676i	0.555456	−	1.24757i	0.945152	−	0.326631i	$-0.105913\pi$
$242$	−5.47875	−	9.48947i	−0.352187	−	0.610006i
$243$	−8.44931	−	13.1000i	−0.542023	−	0.840363i
$244$	4.35610	+	5.99566i	0.278871	+	0.383833i
$245$	−6.21360	+	10.9099i	−0.396972	+	0.697007i
$246$	−2.30372	−	10.3365i	−0.146880	−	0.659031i
$247$	46.4039			2.95261
$248$	−1.30967	+	5.41154i	−0.0831644	+	0.343633i
$249$	17.8959	+	1.70291i	1.13411	+	0.107918i
$250$	−3.26686	+	10.6924i	−0.206614	+	0.676247i
$251$	16.4913	−	3.50534i	1.04092	−	0.221255i	0.344426	−	0.938813i	$-0.388074\pi$
$251$	16.4913	−	3.50534i	1.04092	−	0.221255i	0.696499	+	0.717558i	$0.254740\pi$
$252$	1.49933	+	3.19658i	0.0944490	+	0.201365i
$253$	0.00276047	+	0.00159376i	0.000173549	+	0.000100199i
$254$	4.37669	+	7.58065i	0.274618	+	0.475653i
$255$	10.1755	−	3.48409i	0.637217	−	0.218182i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	−12.6399	+	5.62763i	−0.788453	+	0.351042i	−0.761142	−	0.648585i	$-0.775361\pi$
$257$	−12.6399	+	5.62763i	−0.788453	+	0.351042i	−0.0273107	+	0.999627i	$0.508694\pi$
$258$	3.58500	−	11.4148i	0.223192	−	0.710656i
$259$	1.99517	−	0.209701i	0.123974	−	0.0130302i
$260$	1.48311	+	13.3551i	0.0919785	+	0.828250i
$261$	−12.6862	−	21.0064i	−0.785256	−	1.30027i
$262$	−14.4145	−	1.51503i	−0.890534	−	0.0935989i
$263$	4.46935	+	1.45218i	0.275592	+	0.0895453i	0.443552	−	0.896248i	$-0.353718\pi$
$263$	4.46935	+	1.45218i	0.275592	+	0.0895453i	−0.167960	+	0.985794i	$0.553718\pi$
$264$	−0.327623	−	0.142017i	−0.0201638	−	0.00874057i
$265$	−7.29501	+	6.64652i	−0.448129	+	0.408293i
$266$	−6.75378	+	6.08113i	−0.414101	+	0.372858i
$267$	−1.73348	−	1.88750i	−0.106087	−	0.115513i
$268$	5.96709	−	0.627166i	0.364498	−	0.0383103i
$269$	−14.9296	−	3.17338i	−0.910273	−	0.193485i	−0.271104	−	0.962550i	$-0.587389\pi$
$269$	−14.9296	−	3.17338i	−0.910273	−	0.193485i	−0.639170	+	0.769066i	$0.720722\pi$
$270$	9.63591	+	6.49224i	0.586423	+	0.395105i
$271$	4.30922	−	5.93113i	0.261766	−	0.360290i	−0.657822	−	0.753173i	$-0.728522\pi$
$271$	4.30922	−	5.93113i	0.261766	−	0.360290i	0.919589	+	0.392883i	$0.128522\pi$
$272$	1.12953	−	2.53697i	0.0684878	−	0.153826i
$273$	−5.09242	−	11.1411i	−0.308207	−	0.674293i
$274$	−0.151925	−	0.0877138i	−0.00917811	−	0.00529898i
$275$	0.698698	+	0.757871i	0.0421331	+	0.0457013i
$276$	−0.0266043	+	0.00306143i	−0.00160139	+	0.000184276i
$277$	1.77759	+	5.47085i	0.106805	+	0.328711i	0.990150	−	0.140012i	$-0.0447141\pi$
$277$	1.77759	+	5.47085i	0.106805	+	0.328711i	−0.883345	+	0.468723i	$0.844714\pi$
$278$			17.0078i			1.02006i
$279$	−9.70528	−	13.5944i	−0.581040	−	0.813875i
$280$	−1.96602	−	1.74939i	−0.117492	−	0.104546i
$281$	12.7614	−	4.14644i	0.761283	−	0.247356i	0.0974536	−	0.995240i	$-0.468930\pi$
$281$	12.7614	−	4.14644i	0.761283	−	0.247356i	0.663829	+	0.747884i	$0.268930\pi$
$282$	−0.204975	−	1.78127i	−0.0122061	−	0.106073i
$283$	13.0706	+	17.9902i	0.776968	+	1.06940i	0.995610	+	0.0935994i	$0.0298373\pi$
$283$	13.0706	+	17.9902i	0.776968	+	1.06940i	−0.218642	+	0.975805i	$0.570163\pi$
$284$	11.2476	+	6.49378i	0.667420	+	0.385335i
$285$	−8.79335	+	28.5852i	−0.520873	+	1.69324i
$286$	1.13177	+	0.503897i	0.0669231	+	0.0297961i
$287$	−5.82159	−	4.22963i	−0.343637	−	0.249667i
$288$	2.92159	−	0.681412i	0.172156	−	0.0401526i
$289$	−9.08499	−	1.93108i	−0.534411	−	0.113593i
$290$	14.8607	+	10.6640i	0.872650	+	0.626213i
$291$	−10.0791	+	9.25663i	−0.590848	+	0.542633i
$292$	−10.3453	−	11.4896i	−0.605414	−	0.672380i
$293$	−0.977942	+	9.30450i	−0.0571320	+	0.543575i	0.928098	+	0.372337i	$0.121443\pi$
$293$	−0.977942	+	9.30450i	−0.0571320	+	0.543575i	−0.985230	+	0.171238i	$0.945223\pi$
$294$	−8.92299	−	3.86793i	−0.520399	−	0.225582i
$295$	22.6182	−	13.2365i	1.31688	−	0.770660i
$296$	0.178179	−	1.69526i	0.0103564	−	0.0985348i
$297$	0.965326	−	0.464432i	0.0560139	−	0.0269491i
$298$	−15.9140	−	14.3290i	−0.921872	−	0.830058i
$299$	0.0924033	−	0.00971197i	0.00534382	−	0.000561658i
$300$	−8.50793	−	1.61713i	−0.491206	−	0.0933653i
$301$	−3.30669	−	7.42694i	−0.190594	−	0.428082i
$302$	0.914208	−	1.25830i	0.0526068	−	0.0724070i
$303$	13.8365	+	7.80782i	0.794885	+	0.448547i
$304$	3.86100	+	6.68745i	0.221443	+	0.383551i
$305$	15.7301	−	5.21347i	0.900706	−	0.298522i
$306$	3.53784	+	7.54268i	0.202245	+	0.431186i
$307$	−6.20364	−	29.1858i	−0.354061	−	1.66572i	−0.689976	−	0.723832i	$-0.742379\pi$
$307$	−6.20364	−	29.1858i	−0.354061	−	1.66572i	0.335916	−	0.941892i	$-0.390954\pi$
$308$	−0.230757	+	0.0749774i	−0.0131486	+	0.00427223i
$309$	−13.1665	−	1.25288i	−0.749014	−	0.0712736i
$310$	10.6415	+	6.46202i	0.604398	+	0.367018i
$311$			17.4450i			0.989215i	0.869116	+	0.494608i	$0.164688\pi$
$311$			17.4450i			0.989215i	−0.869116	+	0.494608i	$0.835312\pi$
$312$	−10.1592	+	2.26420i	−0.575150	+	0.128185i
$313$	12.3740	−	2.63018i	0.699420	−	0.148666i	0.155541	−	0.987830i	$-0.450288\pi$
$313$	12.3740	−	2.63018i	0.699420	−	0.148666i	0.543880	+	0.839163i	$0.316955\pi$
$314$	11.4032	+	15.6952i	0.643521	+	0.885731i
$315$	7.82804	−	1.02578i	0.441060	−	0.0577959i
$316$	−0.771675	+	0.445527i	−0.0434101	+	0.0250628i
$317$	−25.7995	−	11.4867i	−1.44904	−	0.645155i	−0.476774	−	0.879026i	$-0.658194\pi$
$317$	−25.7995	−	11.4867i	−1.44904	−	0.645155i	−0.972268	+	0.233871i	$0.924861\pi$
$318$	−5.73096	−	5.05887i	−0.321376	−	0.283687i
$319$	1.54059	−	0.685915i	0.0862565	−	0.0384039i
$320$	−1.80126	+	1.32494i	−0.100693	+	0.0740664i
$321$	0.571541	−	0.00562921i	0.0319003	−	0.000314192i
$322$	−0.0121760	+	0.0135228i	−0.000678539	+	0.000753594i
$323$	−15.9363	+	14.3491i	−0.886720	+	0.798406i
$324$	−4.18953	+	7.96541i	−0.232752	+	0.442523i
$325$	29.4614	+	5.90106i	1.63422	+	0.327332i
$326$	4.54653	+	1.47726i	0.251809	+	0.0818177i
$327$	22.8425	+	4.62066i	1.26319	+	0.255523i
$328$	−4.54374	+	4.09120i	−0.250886	+	0.225899i
$329$	−0.905404	−	0.815229i	−0.0499165	−	0.0449451i
$330$	−0.524872	+	0.601696i	−0.0288932	+	0.0331223i
$331$	−5.01227	+	23.5809i	−0.275499	+	1.29612i	0.594909	+	0.803793i	$0.297188\pi$
$331$	−5.01227	+	23.5809i	−0.275499	+	1.29612i	−0.870409	+	0.492330i	$0.836145\pi$
$332$	−4.22146	−	9.48157i	−0.231683	−	0.520369i
$333$	3.49598	+	3.73215i	0.191578	+	0.204521i
$334$	2.05294	−	4.61099i	0.112332	−	0.252302i
$335$	2.71221	−	13.1393i	0.148184	−	0.717877i
$336$	1.18188	−	1.66088i	0.0644770	−	0.0906083i
$337$	18.0576	−	13.1196i	0.983658	−	0.714669i	0.0251348	−	0.999684i	$-0.491998\pi$
$337$	18.0576	−	13.1196i	0.983658	−	0.714669i	0.958523	+	0.285015i	$0.0919985\pi$
$338$	22.6068	−	4.80522i	1.22965	−	0.261370i
$339$	−3.24804	+	0.723899i	−0.176409	+	0.0393168i
$340$	−4.63904	−	4.12789i	−0.251587	−	0.223866i
$341$	1.00975	−	0.545859i	0.0546811	−	0.0295599i
$342$	−22.7502	−	4.36923i	−1.23019	−	0.236261i
$343$	−14.1200	+	4.58785i	−0.762406	+	0.247721i
$344$	−6.75679	+	1.43620i	−0.364301	+	0.0774347i
$345$	−0.0115274	+	0.0587617i	−0.000620613	+	0.00316362i
$346$	11.2599	−	19.5027i	0.605335	−	1.04847i
$347$	13.9316	−	8.04339i	0.747885	−	0.431792i	−0.0770439	−	0.997028i	$-0.524548\pi$
$347$	13.9316	−	8.04339i	0.747885	−	0.431792i	0.824929	+	0.565236i	$0.191215\pi$
$348$	−6.96289	+	12.3392i	−0.373250	+	0.661449i
$349$	−9.76613	−	7.09551i	−0.522769	−	0.379814i	0.294877	−	0.955535i	$-0.404721\pi$
$349$	−9.76613	−	7.09551i	−0.522769	−	0.379814i	−0.817646	+	0.575721i	$0.804721\pi$
$350$	−5.06123	+	3.00199i	−0.270534	+	0.160463i
$351$	14.8070	−	27.4913i	0.790337	−	1.46738i
$352$	0.0215496	+	0.205030i	0.00114860	+	0.0109282i
$353$	11.0625	+	9.96075i	0.588799	+	0.530157i	0.908785	−	0.417265i	$-0.137011\pi$
$353$	11.0625	+	9.96075i	0.588799	+	0.530157i	−0.319986	+	0.947422i	$0.603678\pi$
$354$	12.0930	+	16.3044i	0.642734	+	0.866570i
$355$	21.4671	−	19.5588i	1.13936	−	1.03807i
$356$	−0.457221	+	1.40718i	−0.0242327	+	0.0745804i
$357$	5.19396	+	2.25147i	0.274893	+	0.119160i
$358$	−1.66803	+	15.8702i	−0.0881580	+	0.838767i
$359$	−18.4088	+	16.5753i	−0.971579	+	0.874813i	−0.992160	−	0.124975i	$-0.960115\pi$
$359$	−18.4088	+	16.5753i	−0.971579	+	0.874813i	0.0205811	+	0.999788i	$0.493448\pi$
$360$	0.530356	−	6.68721i	0.0279522	−	0.352447i
$361$	−4.24691	−	40.4067i	−0.223522	−	2.12667i
$362$	4.58735	−	21.5818i	0.241106	−	1.13431i
$363$	−6.04230	−	17.9914i	−0.317139	−	0.944304i
$364$	−4.15707	+	5.72172i	−0.217890	+	0.299899i
$365$	−31.4994	+	14.2469i	−1.64875	+	0.745717i
$366$	5.33623	+	11.6746i	0.278929	+	0.610239i
$367$	−15.3735	+	26.6277i	−0.802491	+	1.38996i	0.115480	+	0.993310i	$0.463159\pi$
$367$	−15.3735	+	26.6277i	−0.802491	+	1.38996i	−0.917972	+	0.396646i	$0.870174\pi$
$368$	0.00908797	+	0.0125085i	0.000473743	+	0.000652052i
$369$	−0.361284	−	18.3391i	−0.0188077	−	0.954693i
$370$	−3.49112	−	1.52982i	−0.181494	−	0.0795314i
$371$	−5.19426			−0.269673
$372$	−4.08177	+	8.73723i	−0.211630	+	0.453004i
$373$			6.79500i			0.351832i	0.984405	+	0.175916i	$0.0562887\pi$
$373$			6.79500i			0.351832i	−0.984405	+	0.175916i	$0.943711\pi$
$374$	−0.544497	+	0.176918i	−0.0281552	+	0.00914819i
$375$	−9.21792	+	17.0303i	−0.476011	+	0.879439i
$376$	−0.837496	+	0.608476i	−0.0431906	+	0.0313798i
$377$	24.5781	−	42.5705i	1.26583	−	2.19249i
$378$	1.44763	+	5.94160i	0.0744578	+	0.305603i
$379$	−3.07739	−	1.37014i	−0.158075	−	0.0703794i	0.326174	−	0.945310i	$-0.394240\pi$
$379$	−3.07739	−	1.37014i	−0.158075	−	0.0703794i	−0.484249	+	0.874930i	$0.660907\pi$
$380$	16.8682	−	3.68922i	0.865320	−	0.189253i
$381$	4.82689	+	14.3724i	0.247289	+	0.736321i
$382$	0.289264	−	1.36088i	0.0148000	−	0.0696287i
$383$	10.4169	−	1.09486i	0.532277	−	0.0559446i	0.165422	−	0.986223i	$-0.447101\pi$
$383$	10.4169	−	1.09486i	0.532277	−	0.0559446i	0.366855	+	0.930278i	$0.380435\pi$
$384$	−1.17159	−	1.27569i	−0.0597874	−	0.0650997i
$385$	0.00318944	+	0.542532i	0.000162549	+	0.0276500i
$386$	−8.49629	−	0.892996i	−0.432450	−	0.0454523i
$387$	10.0061	−	18.1474i	0.508639	−	0.922486i
$388$	7.51422	+	2.44152i	0.381477	+	0.123949i
$389$	−0.124535	+	1.18487i	−0.00631418	+	0.0600755i	−0.997225	−	0.0744430i	$-0.976282\pi$
$389$	−0.124535	+	1.18487i	−0.00631418	+	0.0600755i	0.990911	+	0.134519i	$0.0429488\pi$
$390$	−2.06847	+	23.1819i	−0.104741	+	1.17386i
$391$	−0.0287305	+	0.0319085i	−0.00145297	+	0.00161368i
$392$	0.586915	+	5.58412i	0.0296437	+	0.282041i
$393$	−23.9508	−	7.52212i	−1.20816	−	0.379441i
$394$	1.77093	+	3.97758i	0.0892182	+	0.200387i
$395$	0.425705	+	1.94645i	0.0214195	+	0.0979364i
$396$	−0.507424	−	0.353607i	−0.0254990	−	0.0177694i
$397$	−19.5103	+	11.2643i	−0.979196	+	0.565339i	−0.902027	−	0.431679i	$-0.857921\pi$
$397$	−19.5103	+	11.2643i	−0.979196	+	0.565339i	−0.0771688	+	0.997018i	$0.524588\pi$
$398$	16.7287	+	9.65832i	0.838534	+	0.484128i
$399$	−13.5540	+	8.00441i	−0.678548	+	0.400722i
$400$	1.60089	+	4.73679i	0.0800443	+	0.236839i
$401$	−4.24011	−	13.0497i	−0.211741	−	0.651672i	−0.999369	−	0.0355207i	$-0.988691\pi$
$401$	−4.24011	−	13.0497i	−0.211741	−	0.651672i	0.787628	−	0.616151i	$-0.211309\pi$
$402$	10.3455	+	0.984442i	0.515986	+	0.0490995i
$403$	14.4595	−	30.1727i	0.720278	−	1.50301i
$404$		−	9.17261i		−	0.456354i
$405$	14.1291	+	14.3307i	0.702079	+	0.712099i
$406$	2.00159	+	9.41675i	0.0993374	+	0.467346i
$407$	−0.284304	+	0.206559i	−0.0140924	+	0.0102387i
$408$	2.78879	−	3.91903i	0.138066	−	0.194021i
$409$	16.3778	−	9.45573i	0.809831	−	0.467556i	−0.0370664	−	0.999313i	$-0.511801\pi$
$409$	16.3778	−	9.45573i	0.809831	−	0.467556i	0.846897	+	0.531757i	$0.178468\pi$
$410$	5.63414	+	12.4569i	0.278250	+	0.615202i
$411$	−0.227796	−	0.201081i	−0.0112363	−	0.00991861i
$412$	3.10584	+	6.97584i	0.153014	+	0.343675i
$413$	13.4920	+	2.86780i	0.663896	+	0.141115i
$414$	−0.0462166	−	0.00393892i	−0.00227142	−	0.000193588i
$415$	−23.0661	+	2.56152i	−1.13227	+	0.125740i
$416$	4.02101	+	4.46579i	0.197146	+	0.218953i
$417$	−5.84065	+	28.8735i	−0.286018	+	1.41394i
$418$	0.491945	−	1.51405i	0.0240618	−	0.0740546i
$419$	18.3490	+	5.96197i	0.896410	+	0.291261i	0.720754	−	0.693191i	$-0.243796\pi$
$419$	18.3490	+	5.96197i	0.896410	+	0.291261i	0.175655	+	0.984452i	$0.443796\pi$
$420$	−2.73688	−	3.64504i	−0.133546	−	0.177860i
$421$	8.94931	+	9.93921i	0.436162	+	0.484408i	0.920649	−	0.390391i	$-0.127660\pi$
$421$	8.94931	+	9.93921i	0.436162	+	0.484408i	−0.484487	+	0.874799i	$0.660994\pi$
$422$	−7.71705	+	8.57066i	−0.375660	+	0.417213i
$423$	0.263727	−	3.09439i	0.0128228	−	0.150454i
$424$	−0.917611	+	4.31702i	−0.0445631	+	0.209653i
$425$	−11.9425	+	7.08354i	−0.579299	+	0.343602i
$426$	16.8646	+	14.8868i	0.817091	+	0.721268i
$427$	7.96807	+	3.54761i	0.385602	+	0.171681i
$428$	−0.164998	−	0.285785i	−0.00797547	−	0.0138139i
$429$	1.74833	+	1.24411i	0.0844100	+	0.0600663i
$430$	−1.52423	+	15.3708i	−0.0735049	+	0.741245i
$431$	4.94147	+	23.2478i	0.238022	+	1.11981i	0.921059	+	0.389423i	$0.127326\pi$
$431$	4.94147	+	23.2478i	0.238022	+	1.11981i	−0.683037	+	0.730384i	$0.739341\pi$
$432$	5.19388	−	0.153506i	0.249891	−	0.00738556i
$433$	0.551571			0.0265068			0.0132534	−	0.999912i	$-0.495781\pi$
$433$	0.551571			0.0265068			0.0132534	+	0.999912i	$0.495781\pi$
$434$	1.84958	+	6.28632i	0.0887829	+	0.301753i
$435$	21.5664	+	23.2073i	1.03403	+	1.11270i
$436$	−4.15789	−	12.7967i	−0.199127	−	0.612849i
$437$	−0.0248231	−	0.116784i	−0.00118745	−	0.00558652i
$438$	−13.6172	−	23.0583i	−0.650657	−	1.10177i
$439$	2.92210	−	5.06123i	0.139464	−	0.241559i	−0.787830	−	0.615893i	$-0.788795\pi$
$439$	2.92210	−	5.06123i	0.139464	−	0.241559i	0.927294	+	0.374334i	$0.122129\pi$
$440$	0.451469	+	0.0931922i	0.0215230	+	0.00444277i
$441$	−13.8200	−	9.63069i	−0.658094	−	0.458604i
$442$	−9.80908	+	13.5010i	−0.466570	+	0.642179i
$443$	−8.14735	+	3.62744i	−0.387092	+	0.172345i	−0.591050	−	0.806635i	$-0.701286\pi$
$443$	−8.14735	+	3.62744i	−0.387092	+	0.172345i	0.203957	+	0.978980i	$0.434620\pi$
$444$	0.884657	−	2.81679i	0.0419840	−	0.133679i
$445$	2.68800	+	1.92891i	0.127424	+	0.0914390i
$446$	−8.31610	+	9.23597i	−0.393779	+	0.437336i
$447$	−22.0959	−	29.7909i	−1.04510	−	1.40906i
$448$	−1.17046	−	0.123021i	−0.0552992	−	0.00581219i
$449$	−3.82343	+	11.7673i	−0.180439	+	0.555333i	−0.999840	−	0.0178872i	$-0.994306\pi$
$449$	−3.82343	+	11.7673i	−0.180439	+	0.555333i	0.819401	+	0.573220i	$0.194306\pi$
$450$	−13.8883	−	5.66707i	−0.654700	−	0.267148i
$451$	1.25360	+	0.131758i	0.0590296	+	0.00620426i
$452$	1.28558	+	1.42778i	0.0604685	+	0.0671571i
$453$	1.98413	−	1.82222i	0.0932227	−	0.0856155i
$454$	−0.170633	−	1.62347i	−0.00800822	−	0.0761931i
$455$	9.37054	+	12.7393i	0.439298	+	0.597227i
$456$	4.25815	+	12.6790i	0.199406	+	0.593747i
$457$	28.4057	+	20.6379i	1.32876	+	0.965401i	0.999778	+	0.0210648i	$0.00670564\pi$
$457$	28.4057	+	20.6379i	1.32876	+	0.965401i	0.328982	+	0.944336i	$0.393294\pi$
$458$	0.520722	−	1.16956i	0.0243318	−	0.0546500i
$459$	3.41584	+	14.0199i	0.159438	+	0.654392i
$460$	0.0328172	−	0.0108767i	0.00153011	−	0.000507127i
$461$	−17.2230	+	12.5132i	−0.802155	+	0.582800i	−0.911546	−	0.411199i	$-0.865110\pi$
$461$	−17.2230	+	12.5132i	−0.802155	+	0.582800i	0.109390	+	0.993999i	$0.465110\pi$
$462$	−0.417496	+	0.0480423i	−0.0194237	+	0.00223513i
$463$	2.05389	+	6.32122i	0.0954523	+	0.293772i	0.987371	−	0.158423i	$-0.0506410\pi$
$463$	2.05389	+	6.32122i	0.0954523	+	0.293772i	−0.891919	+	0.452195i	$0.850641\pi$
$464$	8.17999			0.379747
$465$	15.8466	+	14.6248i	0.734870	+	0.678208i
$466$	−23.9409			−1.10904
$467$	12.9451	+	39.8410i	0.599029	+	1.84362i	0.533549	+	0.845769i	$0.320858\pi$
$467$	12.9451	+	39.8410i	0.599029	+	1.84362i	0.0654806	+	0.997854i	$0.479142\pi$
$468$	−18.0244	+	0.355086i	−0.833180	+	0.0164139i
$469$	5.71281	−	4.15060i	0.263793	−	0.191657i
$470$	0.728236	+	2.19725i	0.0335910	+	0.101351i
$471$	13.9690	+	30.5612i	0.643656	+	1.40818i
$472$	4.76694	−	10.7067i	0.219416	−	0.492817i
$473$	1.15212	+	0.837064i	0.0529745	+	0.0384882i
$474$	−1.46305	+	0.491354i	−0.0671999	+	0.0225687i
$475$	3.58411	−	38.4433i	0.164450	−	1.76390i
$476$	−0.341636	−	3.25045i	−0.0156588	−	0.148984i
$477$	−7.99198	−	10.5563i	−0.365928	−	0.483342i
$478$	−2.45962	−	2.73168i	−0.112500	−	0.124944i
$479$	−0.391560	−	0.0411547i	−0.0178909	−	0.00188040i	0.0955788	−	0.995422i	$-0.469530\pi$
$479$	−0.391560	−	0.0411547i	−0.0178909	−	0.00188040i	−0.113470	+	0.993541i	$0.536196\pi$
$480$	−3.51293	+	1.63073i	−0.160343	+	0.0744325i
$481$	−3.16540	+	9.74210i	−0.144330	+	0.444201i
$482$	−21.0843	−	2.21605i	−0.960363	−	0.100938i
$483$	−0.0253146	+	0.0187758i	−0.00115185	+	0.000854328i
$484$	−7.33200	+	8.14301i	−0.333273	+	0.370137i
$485$	10.3002	−	14.3537i	0.467708	−	0.651768i
$486$	−9.84783	+	12.0839i	−0.446707	+	0.548136i
$487$	−1.82375	+	0.811984i	−0.0826418	+	0.0367945i	−0.447641	−	0.894213i	$-0.647736\pi$
$487$	−1.82375	+	0.811984i	−0.0826418	+	0.0367945i	0.364999	+	0.931008i	$0.381069\pi$
$488$	4.35610	−	5.99566i	0.197191	−	0.271411i
$489$	7.21118	+	4.06922i	0.326101	+	0.184016i
$490$	12.2960	+	2.53814i	0.555478	+	0.114662i
$491$	−8.15390	+	14.1230i	−0.367980	+	0.637360i	−0.989250	−	0.146237i	$-0.953284\pi$
$491$	−8.15390	+	14.1230i	−0.367980	+	0.637360i	0.621269	+	0.783597i	$0.286617\pi$
$492$	−9.11871	+	5.38512i	−0.411103	+	0.242780i
$493$	4.72298	+	22.2199i	0.212713	+	1.00073i
$494$	−14.3396	−	44.1327i	−0.645169	−	1.98563i
$495$	−1.09769	+	0.841232i	−0.0493373	+	0.0378106i
$496$	5.55139	−	0.426682i	0.249265	−	0.0191586i
$497$	15.2852			0.685635
$498$	−3.91057	−	17.5462i	−0.175237	−	0.786265i
$499$	−7.21362	−	33.9374i	−0.322926	−	1.51925i	−0.777697	−	0.628639i	$-0.783612\pi$
$499$	−7.21362	−	33.9374i	−0.322926	−	1.51925i	0.454771	−	0.890608i	$-0.349721\pi$
$500$	11.1786	−	0.197168i	0.499922	−	0.00881763i
$501$	5.06867	−	7.12291i	0.226452	−	0.318228i
$502$	−8.42989	−	14.6010i	−0.376244	−	0.651674i
$503$	−17.6947	−	7.87817i	−0.788966	−	0.351270i	−0.0276222	−	0.999618i	$-0.508794\pi$
$503$	−17.6947	−	7.87817i	−0.788966	−	0.351270i	−0.761344	+	0.648348i	$0.775460\pi$
$504$	2.57681	−	2.41375i	0.114780	−	0.107517i
$505$	−19.5436	−	6.22333i	−0.869680	−	0.276935i
$506$	0.000662722	−	0.00311786i	2.94616e−5	−	0.000138606i
$507$	40.0289	−	0.394252i	1.77775	−	0.0175093i
$508$	5.85716	−	6.50503i	0.259869	−	0.288614i
$509$	−3.49809	−	3.88503i	−0.155050	−	0.172201i	0.660615	−	0.750725i	$-0.270296\pi$
$509$	−3.49809	−	3.88503i	−0.155050	−	0.172201i	−0.815665	+	0.578524i	$0.803629\pi$
$510$	−6.45798	−	8.60088i	−0.285964	−	0.380853i
$511$	−17.3055	−	5.62289i	−0.765549	−	0.248742i
$512$	−0.309017	+	0.951057i	−0.0136568	+	0.0420312i
$513$	−37.1219	−	15.2302i	−1.63897	−	0.672428i
$514$	9.25812	+	10.2822i	0.408358	+	0.453528i
$515$	16.9703	−	1.88458i	0.747801	−	0.0830445i
$516$	−11.9640	+	0.117835i	−0.526684	+	0.00518740i
$517$	0.208753	+	0.0443719i	0.00918096	+	0.00195147i
$518$	−0.815978	−	1.83272i	−0.0358520	−	0.0805249i
$519$	25.8129	−	29.2423i	1.13306	−	1.28359i
$520$	12.2432	−	5.53748i	0.536899	−	0.242835i
$521$	8.61931	−	4.97636i	0.377619	−	0.218018i	−0.299163	−	0.954202i	$-0.596707\pi$
$521$	8.61931	−	4.97636i	0.377619	−	0.218018i	0.676782	+	0.736184i	$0.263374\pi$
$522$	−16.0581	+	18.5566i	−0.702842	+	0.812202i
$523$	17.2532	−	12.5352i	0.754428	−	0.548124i	−0.142768	−	0.989756i	$-0.545600\pi$
$523$	17.2532	−	12.5352i	0.754428	−	0.548124i	0.897196	+	0.441632i	$0.145600\pi$
$524$	3.01346	+	14.1772i	0.131644	+	0.619335i
$525$	−9.62320	+	3.35830i	−0.419991	+	0.146568i
$526$		−	4.69936i		−	0.204902i
$527$	4.36430	+	14.8333i	0.190112	+	0.646148i
$528$	−0.0338256	+	0.355474i	−0.00147207	+	0.0154700i
$529$	7.10732	+	21.8741i	0.309014	+	0.951047i
$530$	8.57550	+	4.88408i	0.372496	+	0.212151i
$531$	14.9307	+	31.8323i	0.647938	+	1.38140i
$532$	7.87053	+	4.54406i	0.341231	+	0.197010i
$533$	31.8196	−	18.3711i	1.37826	−	0.795740i
$534$	−1.25945	+	2.23191i	−0.0545017	+	0.0965841i
$535$	−0.720854	+	0.157657i	−0.0311652	+	0.00681610i
$536$	−2.44040	−	5.48123i	−0.105409	−	0.236753i
$537$	−8.28175	+	26.3695i	−0.357384	+	1.13793i
$538$	1.59543	+	15.1795i	0.0687839	+	0.654435i
$539$	0.774561	−	0.860237i	0.0333627	−	0.0370530i
$540$	3.19682	−	11.1705i	0.137569	−	0.480702i
$541$	−0.474530	+	4.51485i	−0.0204016	+	0.194108i	−0.999976	−	0.00697528i	$-0.997780\pi$
$541$	−0.474530	+	4.51485i	−0.0204016	+	0.194108i	0.979574	+	0.201084i	$0.0644463\pi$
$542$	−6.97246	−	2.26549i	−0.299493	−	0.0973111i
$543$	15.1992	−	35.0633i	0.652260	−	1.50471i
$544$	−2.76184	−	0.290281i	−0.118413	−	0.0124457i
$545$	−30.0863	+	0.176871i	−1.28875	+	0.00757632i
$546$	−9.02221	+	8.28598i	−0.386115	+	0.354607i
$547$	33.0911	−	3.47801i	1.41487	−	0.148709i	0.633968	−	0.773359i	$-0.281425\pi$
$547$	33.0911	−	3.47801i	1.41487	−	0.148709i	0.780905	+	0.624650i	$0.214758\pi$
$548$	−0.0364735	+	0.171594i	−0.00155807	+	0.00733014i
$549$	5.04997	+	21.6520i	0.215528	+	0.924085i
$550$	0.504868	−	0.898696i	0.0215277	−	0.0383205i
$551$	−57.7049	−	25.6919i	−2.45831	−	1.09451i
$552$	0.0111328	+	0.0243562i	0.000473843	+	0.00103667i
$553$	−0.524346	+	0.908193i	−0.0222974	+	0.0386203i
$554$	4.65378	−	3.38117i	0.197720	−	0.143652i
$555$	−5.40139	−	3.79600i	−0.229276	−	0.161131i
$556$	16.1754	−	5.25570i	0.685988	−	0.222891i
$557$			40.7775i			1.72780i	0.503665	+	0.863899i	$0.331985\pi$
$557$			40.7775i			1.72780i	−0.503665	+	0.863899i	$0.668015\pi$
$558$	−9.92994	+	13.4312i	−0.420368	+	0.568587i
$559$	41.5107			1.75572
$560$	−1.05624	+	2.41039i	−0.0446342	+	0.101857i
$561$	−0.985128	+	0.113361i	−0.0415922	+	0.00478611i
$562$	−7.88699	−	10.8555i	−0.332693	−	0.457912i
$563$	0.0543336	−	0.0941086i	0.00228989	−	0.00396620i	−0.864878	−	0.501982i	$-0.832604\pi$
$563$	0.0543336	−	0.0941086i	0.00228989	−	0.00396620i	0.867168	+	0.498016i	$0.165938\pi$
$564$	−1.63075	+	0.745385i	−0.0686668	+	0.0313864i
$565$	3.91433	−	1.77042i	0.164677	−	0.0744820i
$566$	13.0706	−	17.9902i	0.549399	−	0.756183i
$567$	0.417176	+	10.5840i	0.0175198	+	0.444486i
$568$	2.70027	−	12.7038i	0.113301	−	0.533038i
$569$	4.29543	+	40.8683i	0.180074	+	1.71329i	0.595246	+	0.803544i	$0.297055\pi$
$569$	4.29543	+	40.8683i	0.180074	+	1.71329i	−0.415172	+	0.909743i	$0.636279\pi$
$570$	29.9035	−	0.470348i	1.25252	−	0.0197007i
$571$	−14.0820	+	12.6795i	−0.589312	+	0.530619i	−0.908941	−	0.416924i	$-0.863108\pi$
$571$	−14.0820	+	12.6795i	−0.589312	+	0.530619i	0.319630	+	0.947543i	$0.396441\pi$
$572$	0.129498	−	1.23209i	0.00541459	−	0.0515164i
$573$	0.958414	−	2.21098i	0.0400383	−	0.0923652i
$574$	−2.22365	+	6.84369i	−0.0928133	+	0.285650i
$575$	−0.000908911	−	0.0773015i	−3.79042e−5	−	0.00322370i
$576$	−1.55088	−	2.56803i	−0.0646201	−	0.107001i
$577$	16.1490	+	14.5407i	0.672294	+	0.605336i	0.932911	−	0.360106i	$-0.117260\pi$
$577$	16.1490	+	14.5407i	0.672294	+	0.605336i	−0.260618	+	0.965442i	$0.583926\pi$
$578$	0.970856	+	9.23708i	0.0403823	+	0.384212i
$579$	−14.1172	−	4.43372i	−0.586691	−	0.184259i
$580$	5.54987	−	17.4287i	0.230446	−	0.723688i
$581$	−9.88215	−	7.17980i	−0.409981	−	0.297868i
$582$	11.9182	+	6.72534i	0.494025	+	0.278775i
$583$	0.787979	−	0.454940i	0.0326348	−	0.0188417i
$584$	−7.73042	+	13.3895i	−0.319887	+	0.554061i
$585$	−11.4725	+	38.6447i	−0.474328	+	1.59776i
$586$	9.15131	−	1.94517i	0.378037	−	0.0803542i
$587$	25.5502	−	8.30176i	1.05457	−	0.342650i	0.270109	−	0.962830i	$-0.412940\pi$
$587$	25.5502	−	8.30176i	1.05457	−	0.342650i	0.784460	+	0.620179i	$0.212940\pi$
$588$	−0.921260	+	9.68152i	−0.0379921	+	0.399259i
$589$	−40.5018	−	14.4259i	−1.66885	−	0.594410i
$590$	−19.5781	−	17.4209i	−0.806018	−	0.717207i
$591$	1.64051	+	7.36075i	0.0674815	+	0.302781i
$592$	−1.66735	+	0.354405i	−0.0685275	+	0.0145660i
$593$	18.1598	−	13.1939i	0.745735	−	0.541809i	−0.148767	−	0.988872i	$-0.547530\pi$
$593$	18.1598	−	13.1939i	0.745735	−	0.541809i	0.894502	+	0.447064i	$0.147530\pi$
$594$	−0.740003	−	0.774562i	−0.0303627	−	0.0317807i
$595$	−7.15736	−	1.47742i	−0.293423	−	0.0605683i
$596$	−8.71001	+	19.5630i	−0.356776	+	0.801332i
$597$	25.0830	+	22.1414i	1.02658	+	0.906188i
$598$	−0.0377908	−	0.0848796i	−0.00154538	−	0.00347098i
$599$	1.02410	−	4.81800i	0.0418435	−	0.196858i	−0.952261	−	0.305285i	$-0.901248\pi$
$599$	1.02410	−	4.81800i	0.0418435	−	0.196858i	0.994104	+	0.108427i	$0.0345815\pi$
$600$	1.09111	+	8.59124i	0.0445443	+	0.350736i
$601$	15.5037	+	13.9596i	0.632407	+	0.569422i	0.921741	−	0.387806i	$-0.126767\pi$
$601$	15.5037	+	13.9596i	0.632407	+	0.569422i	−0.289334	+	0.957228i	$0.593434\pi$
$602$	−6.04162	+	5.43989i	−0.246238	+	0.221714i
$603$	17.2251	+	5.22401i	0.701461	+	0.212738i
$604$	−1.47922	−	0.480628i	−0.0601886	−	0.0195565i
$605$	12.3754	+	21.1467i	0.503131	+	0.859736i
$606$	3.14997	−	15.5720i	0.127959	−	0.632570i
$607$	−2.82526	+	2.54388i	−0.114674	+	0.103253i	−0.724473	−	0.689303i	$-0.757917\pi$
$607$	−2.82526	+	2.54388i	−0.114674	+	0.103253i	0.609799	+	0.792556i	$0.291250\pi$
$608$	5.16703	−	5.73856i	0.209551	−	0.232729i
$609$	0.164224	+	16.6739i	0.00665468	+	0.675659i
$610$	−9.81918	−	13.3492i	−0.397567	−	0.540494i
$611$	5.68303	−	2.53025i	0.229911	−	0.102363i
$612$	6.08026	−	5.69550i	0.245780	−	0.230227i
$613$	9.58012	+	4.26535i	0.386938	+	0.172276i	0.590980	−	0.806686i	$-0.298741\pi$
$613$	9.58012	+	4.26535i	0.386938	+	0.172276i	−0.204042	+	0.978962i	$0.565408\pi$
$614$	−25.8404	+	14.9189i	−1.04283	+	0.602079i
$615$	5.28706	+	23.0824i	0.213195	+	0.930774i
$616$	0.142615	+	0.196293i	0.00574614	+	0.00790889i
$617$	−15.0749	+	3.20427i	−0.606893	+	0.128999i	−0.501100	−	0.865389i	$-0.667071\pi$
$617$	−15.0749	+	3.20427i	−0.606893	+	0.128999i	−0.105793	+	0.994388i	$0.533738\pi$
$618$	2.87711	+	12.9092i	0.115734	+	0.519285i
$619$		−	41.0432i		−	1.64967i	−0.565376	−	0.824833i	$-0.691269\pi$
$619$		−	41.0432i		−	1.64967i	0.565376	−	0.824833i	$-0.308731\pi$
$620$	2.85734	−	12.1176i	0.114753	−	0.486654i
$621$	−0.0771076	−	0.0225582i	−0.00309422	−	0.000905231i
$622$	16.5912	−	5.39080i	0.665246	−	0.216152i
$623$	0.362048	+	1.70330i	0.0145052	+	0.0682414i
$624$	5.29274	+	8.96228i	0.211879	+	0.358778i
$625$	7.16424	−	23.9515i	0.286570	−	0.958059i
$626$	−6.32523	−	10.9556i	−0.252807	−	0.437874i
$627$	1.35510	−	2.40141i	0.0541174	−	0.0959031i
$628$	11.4032	−	15.6952i	0.455038	−	0.626306i
$629$	−1.92539	−	4.32450i	−0.0767704	−	0.172429i
$630$	−3.39457	−	7.12793i	−0.135243	−	0.283983i
$631$	8.57373	−	0.901135i	0.341315	−	0.0358736i	0.0676794	−	0.997707i	$-0.478440\pi$
$631$	8.57373	−	0.901135i	0.341315	−	0.0358736i	0.273635	+	0.961833i	$0.411774\pi$
$632$	0.662182	+	0.596231i	0.0263402	+	0.0237168i
$633$	−16.0442	+	11.9000i	−0.637701	+	0.472982i
$634$	−2.95199	+	28.0863i	−0.117239	+	1.11545i
$635$	−9.88606	−	16.8930i	−0.392316	−	0.670380i
$636$	−3.04031	+	7.01374i	−0.120556	+	0.278113i
$637$	3.52695	−	33.5567i	0.139743	−	1.32957i
$638$	−1.12841	−	1.25323i	−0.0446743	−	0.0496158i
$639$	23.5181	+	31.0643i	0.930362	+	1.22888i
$640$	1.81671	+	1.30367i	0.0718119	+	0.0515321i
$641$	39.7915	+	8.45795i	1.57167	+	0.334069i	0.909637	−	0.415404i	$-0.136360\pi$
$641$	39.7915	+	8.45795i	1.57167	+	0.334069i	0.662035	+	0.749473i	$0.269693\pi$
$642$	−0.181970	−	0.541829i	−0.00718177	−	0.0213843i
$643$	−19.6614	−	14.2849i	−0.775371	−	0.563340i	0.128215	−	0.991746i	$-0.459075\pi$
$643$	−19.6614	−	14.2849i	−0.775371	−	0.563340i	−0.903586	+	0.428406i	$0.859075\pi$
$644$	0.0166235	+	0.00740125i	0.000655057	+	0.000291650i
$645$	−7.86612	+	25.5710i	−0.309728	+	1.00686i
$646$	18.5714	+	10.7222i	0.730683	+	0.421860i
$647$	9.75108	+	13.4212i	0.383354	+	0.527642i	0.956469	−	0.291833i	$-0.0942652\pi$
$647$	9.75108	+	13.4212i	0.383354	+	0.527642i	−0.573115	+	0.819475i	$0.694265\pi$
$648$	8.87020	+	1.52303i	0.348454	+	0.0598304i
$649$	−2.29793	+	0.746643i	−0.0902017	+	0.0293083i
$650$	−3.49183	−	29.8430i	−0.136961	−	1.17054i
$651$	0.981189	+	11.3072i	0.0384558	+	0.443165i
$652$		−	4.78051i		−	0.187219i
$653$	−4.47881	−	13.7844i	−0.175270	−	0.539424i	0.824376	−	0.566042i	$-0.191526\pi$
$653$	−4.47881	−	13.7844i	−0.175270	−	0.539424i	−0.999646	+	0.0266182i	$0.991526\pi$
$654$	−2.66420	−	23.1523i	−0.104178	−	0.905328i
$655$	32.2513	+	3.19817i	1.26016	+	0.124963i
$656$	5.29506	+	3.05710i	0.206737	+	0.119360i
$657$	−15.1991	−	43.8215i	−0.592972	−	1.70964i
$658$	−0.495544	+	1.11301i	−0.0193183	+	0.0433897i
$659$	24.2551	−	33.3843i	0.944846	−	1.30047i	−0.00893322	−	0.999960i	$-0.502844\pi$
$659$	24.2551	−	33.3843i	0.944846	−	1.30047i	0.953779	−	0.300509i	$-0.0971564\pi$
$660$	0.734441	+	0.313249i	0.0285881	+	0.0121932i
$661$	−21.1809	−	4.50213i	−0.823840	−	0.175113i	−0.223343	−	0.974740i	$-0.571697\pi$
$661$	−21.1809	−	4.50213i	−0.823840	−	0.175113i	−0.600497	+	0.799627i	$0.705030\pi$
$662$	23.9756	−	2.51994i	0.931840	−	0.0979403i
$663$	−21.2889	+	19.5517i	−0.826794	+	0.759325i
$664$	−7.71300	+	6.94482i	−0.299322	+	0.269511i
$665$	15.0217	−	13.6864i	0.582517	−	0.530735i
$666$	2.46917	−	4.47817i	0.0956783	−	0.173526i
$667$	−0.120284	−	0.0390826i	−0.00465741	−	0.00151328i
$668$	−5.01970	−	0.527592i	−0.194218	−	0.0204131i
$669$	−17.2897	+	12.8237i	−0.668458	+	0.495795i
$670$	−13.3343	+	1.48080i	−0.515150	+	0.0572083i
$671$	−1.51949	+	0.159705i	−0.0586592	+	0.00616534i
$672$	−1.94481	−	0.610798i	−0.0750227	−	0.0235620i
$673$	−32.6329	+	14.5291i	−1.25791	+	0.560056i	−0.923943	−	0.382530i	$-0.875053\pi$
$673$	−32.6329	+	14.5291i	−1.25791	+	0.560056i	−0.333964	+	0.942586i	$0.608386\pi$
$674$	−18.0576	−	13.1196i	−0.695551	−	0.505348i
$675$	−21.6315	−	14.3902i	−0.832598	−	0.553878i
$676$	−11.5559	−	20.0154i	−0.444458	−	0.769825i
$677$	15.2715	+	8.81703i	0.586933	+	0.338866i	0.763884	−	0.645354i	$-0.223290\pi$
$677$	15.2715	+	8.81703i	0.586933	+	0.338866i	−0.176951	+	0.984220i	$0.556623\pi$
$678$	1.69217	+	2.86537i	0.0649873	+	0.110044i
$679$	9.09549	−	1.93331i	0.349053	−	0.0741934i
$680$	−2.49231	+	5.68758i	−0.0955759	+	0.218109i
$681$	0.267837	−	2.81470i	0.0102636	−	0.107860i
$682$	−0.831173	−	0.791650i	−0.0318273	−	0.0303138i
$683$	−25.9210			−0.991838			−0.495919	−	0.868369i	$-0.665169\pi$
$683$	−25.9210			−0.991838			−0.495919	+	0.868369i	$0.665169\pi$
$684$	2.87482	+	22.9869i	0.109922	+	0.878927i
$685$	0.340861	+	0.194134i	0.0130236	+	0.00741746i
$686$	8.72661	+	12.0112i	0.333184	+	0.458588i
$687$	1.28565	−	1.80670i	0.0490507	−	0.0689300i
$688$	3.45387	+	5.98227i	0.131677	+	0.228072i
$689$	10.7874	−	24.2290i	0.410968	−	0.923050i
$690$	0.0594478	−	0.00719516i	0.00226314	−	0.000273915i
$691$	−14.3859	+	6.40500i	−0.547264	+	0.243658i	−0.661695	−	0.749774i	$-0.730162\pi$
$691$	−14.3859	+	6.40500i	−0.547264	+	0.243658i	0.114430	+	0.993431i	$0.463496\pi$
$692$	−22.0277	−	4.68212i	−0.837366	−	0.177988i
$693$	−0.725267	−	0.0618127i	−0.0275506	−	0.00234807i
$694$	−11.9548	−	10.7642i	−0.453798	−	0.408602i
$695$	−0.223570	−	38.0299i	−0.00848050	−	1.44256i
$696$	13.8869	+	2.80910i	0.526381	+	0.106478i
$697$	−5.24695	+	16.1485i	−0.198742	+	0.611666i
$698$	−3.73033	+	11.4808i	−0.141195	+	0.434554i
$699$	−40.6437	−	8.22157i	−1.53729	−	0.310968i
$700$	4.41907	+	3.88585i	0.167025	+	0.146871i
$701$	19.1328	+	17.2272i	0.722636	+	0.650664i	0.946036	−	0.324063i	$-0.105049\pi$
$701$	19.1328	+	17.2272i	0.722636	+	0.650664i	−0.223400	+	0.974727i	$0.571716\pi$
$702$	−30.7214	−	5.58696i	−1.15951	−	0.210866i
$703$	12.8752	+	2.73672i	0.485599	+	0.103217i
$704$	0.188336	−	0.0838528i	0.00709820	−	0.00316032i
$705$	0.481745	+	3.98027i	0.0181436	+	0.149906i
$706$	6.05472	−	13.5991i	0.227872	−	0.511810i
$707$	−5.39767	−	9.34904i	−0.203000	−	0.351607i
$708$	11.7695	−	16.5394i	0.442324	−	0.621590i
$709$	−1.28336	−	1.76639i	−0.0481976	−	0.0663383i	0.784238	−	0.620460i	$-0.213054\pi$
$709$	−1.28336	−	1.76639i	−0.0481976	−	0.0663383i	−0.832436	+	0.554122i	$0.813054\pi$
$710$	−25.2352	−	14.3724i	−0.947061	−	0.539388i
$711$	−2.65250	+	0.331731i	−0.0994764	+	0.0124409i
$712$	1.47960			0.0554503
$713$	−0.0836698	−	0.0202494i	−0.00313346	−	0.000758345i
$714$	0.536254	−	5.63549i	0.0200688	−	0.210903i
$715$	−2.53730	−	1.11185i	−0.0948896	−	0.0415809i
$716$	15.6089	−	3.31778i	0.583333	−	0.123991i
$717$	−3.23752	−	5.48214i	−0.120907	−	0.204734i
$718$	21.4527	+	12.3857i	0.800609	+	0.462232i
$719$	4.71820	+	8.17216i	0.175959	+	0.304770i	0.940493	−	0.339814i	$-0.110364\pi$
$719$	4.71820	+	8.17216i	0.175959	+	0.304770i	−0.764534	+	0.644584i	$0.777031\pi$
$720$	−6.52380	+	1.56206i	−0.243128	+	0.0582146i
$721$	7.27056	+	5.28237i	0.270770	+	0.196726i
$722$	−37.1167	+	16.5254i	−1.38134	+	0.615012i
$723$	−35.0331	−	11.0027i	−1.30289	−	0.409194i
$724$	−21.9431	+	2.30631i	−0.815508	+	0.0857133i
$725$	−33.3691	−	23.6497i	−1.23930	−	0.878328i
$726$	−15.2437	+	11.3062i	−0.565746	+	0.419613i
$727$	−36.3720	−	3.82285i	−1.34896	−	0.141782i	−0.597666	−	0.801745i	$-0.703905\pi$
$727$	−36.3720	−	3.82285i	−1.34896	−	0.141782i	−0.751298	+	0.659963i	$0.770572\pi$
$728$	6.72628	+	2.18550i	0.249293	+	0.0810001i
$729$	−20.8681	+	17.1325i	−0.772891	+	0.634539i
$730$	23.2835	+	25.5552i	0.861760	+	0.945840i
$731$	−14.2559	+	12.8360i	−0.527273	+	0.474758i
$732$	9.45418	−	8.68269i	0.349436	−	0.320922i
$733$	35.4658	−	3.72761i	1.30996	−	0.137682i	0.576321	−	0.817223i	$-0.304488\pi$
$733$	35.4658	−	3.72761i	1.30996	−	0.137682i	0.733638	+	0.679541i	$0.237821\pi$
$734$	30.0752	+	6.39267i	1.11009	+	0.235958i
$735$	20.0029	+	8.53150i	0.737818	+	0.314689i
$736$	0.00908797	−	0.0125085i	0.000334987	−	0.000461070i
$737$	−0.503113	+	1.13001i	−0.0185324	+	0.0416245i
$738$	−17.3298	+	6.01068i	−0.637920	+	0.221256i
$739$	−1.95144	−	1.12666i	−0.0717848	−	0.0414449i	0.463678	−	0.886004i	$-0.346529\pi$
$739$	−1.95144	−	1.12666i	−0.0717848	−	0.0414449i	−0.535463	+	0.844559i	$0.679863\pi$
$740$	−0.376128	+	3.79299i	−0.0138268	+	0.139433i
$741$	−9.18820	−	79.8470i	−0.337537	−	2.93325i
$742$	1.60511	+	4.94004i	0.0589256	+	0.181354i
$743$		−	34.7128i		−	1.27349i	−0.771075	−	0.636744i	$-0.780281\pi$
$743$		−	34.7128i		−	1.27349i	0.771075	−	0.636744i	$-0.219719\pi$
$744$	9.57093	+	1.18204i	0.350887	+	0.0433357i
$745$	35.7725	+	31.8309i	1.31060	+	1.16619i
$746$	6.46243	−	2.09977i	0.236606	−	0.0768781i
$747$	−0.613280	−	31.1306i	−0.0224387	−	1.13901i
$748$	0.336517	+	0.463176i	0.0123043	+	0.0169354i
$749$	−0.336343	−	0.194188i	−0.0122897	−	0.00709547i
$750$	19.0452	+	3.50412i	0.695434	+	0.127952i
$751$	20.2683	+	9.02402i	0.739600	+	0.329291i	0.741723	−	0.670707i	$-0.234009\pi$
$751$	20.2683	+	9.02402i	0.739600	+	0.329291i	−0.00212288	+	0.999998i	$0.500676\pi$
$752$	0.837496	+	0.608476i	0.0305403	+	0.0221889i
$753$	−9.29700	−	27.6825i	−0.338801	−	1.00881i
$754$	−48.0820	−	10.2201i	−1.75104	−	0.372195i
$755$	−2.02766	+	2.82561i	−0.0737939	+	0.102835i
$756$	5.20346	−	3.21283i	0.189248	−	0.116850i
$757$	9.09761	+	10.1039i	0.330658	+	0.367233i	0.885433	−	0.464768i	$-0.153862\pi$
$757$	9.09761	+	10.1039i	0.330658	+	0.367233i	−0.554774	+	0.832001i	$0.687195\pi$
$758$	−0.352117	+	3.35017i	−0.0127895	+	0.121684i
$759$	0.00219579	−	0.00506550i	7.97020e−5	−	0.000183866i
$760$	−8.72121	−	14.9026i	−0.316352	−	0.540573i
$761$	2.92226	−	27.8034i	0.105932	−	1.00787i	−0.804427	−	0.594052i	$-0.797527\pi$
$761$	2.92226	−	27.8034i	0.105932	−	1.00787i	0.910358	−	0.413821i	$-0.135806\pi$
$762$	12.1774	−	9.03196i	0.441140	−	0.327194i
$763$	−11.7681	−	10.5961i	−0.426035	−	0.383604i
$764$	−1.38366	+	0.145429i	−0.0500591	+	0.00526143i
$765$	−8.00987	−	16.8192i	−0.289597	−	0.608098i
$766$	−4.26026	−	9.56870i	−0.153929	−	0.345731i
$767$	−41.3971	+	56.9783i	−1.49476	+	2.05737i
$768$	−0.851210	+	1.50846i	−0.0307154	+	0.0544317i
$769$	−11.1407	−	19.2962i	−0.401743	−	0.695840i	0.592193	−	0.805796i	$-0.298262\pi$
$769$	−11.1407	−	19.2962i	−0.401743	−	0.695840i	−0.993936	+	0.109956i	$0.964929\pi$
$770$	0.514993	−	0.170685i	0.0185591	−	0.00615106i
$771$	12.1862	+	20.6351i	0.438875	+	0.743153i
$772$	1.77621	+	8.35640i	0.0639271	+	0.300754i
$773$	−0.297655	+	0.0967140i	−0.0107059	+	0.00347856i	−0.314365	−	0.949302i	$-0.601792\pi$
$773$	−0.297655	+	0.0967140i	−0.0107059	+	0.00347856i	0.303659	+	0.952781i	$0.401792\pi$
$774$	−20.3513	−	3.90851i	−0.731512	−	0.140488i
$775$	−23.8797	−	14.3094i	−0.857785	−	0.514009i
$776$		−	7.90092i		−	0.283626i
$777$	−0.755884	−	3.39156i	−0.0271172	−	0.121671i
$778$	1.16536	−	0.247706i	0.0417804	−	0.00888069i
$779$	−27.7516	−	38.1968i	−0.994305	−	1.36854i
$780$	22.6865	−	5.19636i	0.812306	−	0.186060i
$781$	−2.31879	+	1.33876i	−0.0829730	+	0.0479045i
$782$	0.0392250	+	0.0174641i	0.00140268	+	0.000624515i
$783$	−33.6338	+	25.9885i	−1.20197	+	0.928752i
$784$	5.12945	−	2.28378i	0.183195	−	0.0815635i
$785$	−25.7043	−	34.9450i	−0.917424	−	1.24724i
$786$	0.247244	+	25.1030i	0.00881890	+	0.895396i
$787$	19.7987	−	21.9887i	0.705747	−	0.783811i	−0.278533	−	0.960427i	$-0.589848\pi$
$787$	19.7987	−	21.9887i	0.705747	−	0.783811i	0.984280	+	0.176616i	$0.0565150\pi$
$788$	3.23565	−	2.91339i	0.115265	−	0.103785i
$789$	1.61381	−	7.97794i	0.0574531	−	0.284022i
$790$	1.71963	−	1.00635i	0.0611818	−	0.0358045i
$791$	2.15049	+	0.698737i	0.0764627	+	0.0248442i
$792$	−0.179498	+	0.591859i	−0.00637818	+	0.0210308i
$793$	−33.0962	+	29.7999i	−1.17528	+	1.05823i
$794$	16.7420	+	15.0746i	0.594152	+	0.534977i
$795$	12.8811	+	11.2364i	0.456845	+	0.398516i
$796$	4.01616	−	18.8945i	0.142349	−	0.669699i
$797$	6.49345	+	14.5845i	0.230010	+	0.516610i	0.991272	−	0.131834i	$-0.0420866\pi$
$797$	6.49345	+	14.5845i	0.230010	+	0.516610i	−0.761262	+	0.648444i	$0.775420\pi$
$798$	11.8011	+	10.4171i	0.417753	+	0.368762i
$799$	−1.16929	+	2.62627i	−0.0413666	+	0.0929109i
$800$	4.01025	−	2.98628i	0.141784	−	0.105581i
$801$	−2.90458	+	3.35653i	−0.102628	+	0.118597i
$802$	−11.1008	+	8.06517i	−0.391981	+	0.284791i
$803$	3.11775	−	0.662699i	0.110023	−	0.0233861i
$804$	−2.26067	−	10.1434i	−0.0797278	−	0.357729i
$805$	0.0270480	−	0.0303974i	0.000953318	−	0.00107137i
$806$	−33.1641	−	4.42791i	−1.16816	−	0.155966i
$807$	−2.50430	+	26.3176i	−0.0881554	+	0.926425i
$808$	−8.72367	+	2.83449i	−0.306898	+	0.0997170i
$809$	53.8585	−	11.4480i	1.89357	−	0.402490i	0.894554	−	0.446959i	$-0.147493\pi$
$809$	53.8585	−	11.4480i	1.89357	−	0.402490i	0.999011	+	0.0444696i	$0.0141598\pi$
$810$	9.26321	−	17.8660i	0.325476	−	0.627746i
$811$	−22.6404	+	39.2143i	−0.795012	+	1.37700i	0.127819	+	0.991798i	$0.459202\pi$
$811$	−22.6404	+	39.2143i	−0.795012	+	1.37700i	−0.922831	+	0.385204i	$0.874131\pi$
$812$	8.33734	−	4.81356i	0.292583	−	0.168923i
$813$	−11.0589	−	6.24046i	−0.387853	−	0.218862i
$814$	0.284304	+	0.206559i	0.00996485	+	0.00723989i
$815$	−10.1856	−	3.24343i	−0.356786	−	0.113612i
$816$	−4.58900	−	1.44125i	−0.160647	−	0.0504537i
$817$	−5.57571	−	53.0493i	−0.195069	−	1.85596i
$818$	−14.0540	−	12.6542i	−0.491385	−	0.442445i
$819$	−18.1622	+	10.9685i	−0.634638	+	0.383271i
$820$	10.1062	−	9.20777i	0.352922	−	0.321549i
$821$	8.05875	−	24.8023i	0.281252	−	0.865606i	−0.706245	−	0.707968i	$-0.749612\pi$
$821$	8.05875	−	24.8023i	0.281252	−	0.865606i	0.987497	−	0.157638i	$-0.0503879\pi$
$822$	−0.120847	+	0.278784i	−0.00421502	+	0.00972371i
$823$	−1.58836	+	15.1122i	−0.0553667	+	0.526779i	0.931326	+	0.364186i	$0.118653\pi$
$823$	−1.58836	+	15.1122i	−0.0553667	+	0.526779i	−0.986693	+	0.162594i	$0.948014\pi$
$824$	5.67466	−	5.10948i	0.197686	−	0.177997i
$825$	1.16572	−	1.35231i	0.0405851	−	0.0470814i
$826$	−1.44180	−	13.7178i	−0.0501667	−	0.477304i
$827$	8.72234	−	41.0354i	0.303306	−	1.42694i	−0.517476	−	0.855698i	$-0.673128\pi$
$827$	8.72234	−	41.0354i	0.303306	−	1.42694i	0.820781	−	0.571243i	$-0.193539\pi$
$828$	0.0105356	+	0.0451718i	0.000366136	+	0.00156983i
$829$	−3.78369	+	5.20781i	−0.131413	+	0.180875i	−0.869653	−	0.493664i	$-0.835657\pi$
$829$	−3.78369	+	5.20781i	−0.131413	+	0.180875i	0.738240	+	0.674538i	$0.235657\pi$
$830$	9.56396	+	21.1456i	0.331970	+	0.733973i
$831$	9.06169	−	4.14194i	0.314347	−	0.143682i
$832$	3.00466	−	5.20422i	0.104168	−	0.180424i
$833$	9.16524	+	12.6149i	0.317557	+	0.437079i
$834$	29.2652	−	3.36762i	1.01337	−	0.116611i
$835$	−4.52983	+	10.3373i	−0.156761	+	0.357737i
$836$	−1.59197			−0.0550593
$837$	−21.4701	+	19.3916i	−0.742116	+	0.670272i
$838$		−	19.2933i		−	0.666477i
$839$	−26.8304	+	8.71773i	−0.926288	+	0.300969i	−0.733044	−	0.680181i	$-0.761901\pi$
$839$	−26.8304	+	8.71773i	−0.926288	+	0.300969i	−0.193245	+	0.981151i	$0.561901\pi$
$840$	−2.62089	+	3.72931i	−0.0904294	+	0.128673i
$841$	−30.6717	+	22.2843i	−1.05764	+	0.768424i
$842$	6.68726	−	11.5827i	0.230458	−	0.399166i
$843$	−9.66158	−	21.1375i	−0.332762	−	0.728015i
$844$	10.5359	+	4.69088i	0.362660	+	0.161467i
$845$	−50.4863	+	11.0418i	−1.73678	+	0.379849i
$846$	−3.02443	+	0.705399i	−0.103982	+	0.0242521i
$847$	−2.68123	+	12.6142i	−0.0921282	+	0.433429i
$848$	4.38929	−	0.461333i	0.150729	−	0.0158422i
$849$	28.3676	−	26.0527i	0.973572	−	0.894127i
$850$	10.4273	+	9.16910i	0.357653	+	0.314498i
$851$	0.0262110	+	0.00275489i	0.000898502	+	9.44364e-5i
$852$	8.94675	−	20.6394i	0.306511	−	0.707095i
$853$	−8.97449	−	2.91599i	−0.307281	−	0.0998416i	0.151318	−	0.988485i	$-0.451648\pi$
$853$	−8.97449	−	2.91599i	−0.307281	−	0.0998416i	−0.458598	+	0.888644i	$0.651648\pi$
$854$	0.911712	−	8.67436i	0.0311981	−	0.296831i
$855$	50.9276	+	9.47067i	1.74169	+	0.323890i
$856$	−0.220810	+	0.245235i	−0.00754714	+	0.00838194i
$857$	1.50251	+	14.2954i	0.0513247	+	0.488322i	0.989747	+	0.142831i	$0.0456207\pi$
$857$	1.50251	+	14.2954i	0.0513247	+	0.488322i	−0.938422	+	0.345490i	$0.887713\pi$
$858$	0.642958	−	2.04721i	0.0219502	−	0.0698906i
$859$	5.76729	+	12.9535i	0.196777	+	0.441969i	0.984803	−	0.173673i	$-0.0555635\pi$
$859$	5.76729	+	12.9535i	0.196777	+	0.441969i	−0.788026	+	0.615642i	$0.788897\pi$
$860$	15.0895	−	3.30020i	0.514547	−	0.112536i
$861$	−6.12521	+	10.8547i	−0.208746	+	0.369926i
$862$	20.5830	−	11.8836i	0.701059	−	0.404756i
$863$	7.89168	+	4.55627i	0.268636	+	0.155097i	0.628268	−	0.777997i	$-0.283764\pi$
$863$	7.89168	+	4.55627i	0.268636	+	0.155097i	−0.359632	+	0.933094i	$0.617098\pi$
$864$	−1.75099	−	4.89224i	−0.0595699	−	0.166437i
$865$	−24.9211	+	43.7566i	−0.847342	+	1.48777i
$866$	−0.170445	−	0.524575i	−0.00579195	−	0.0178258i
$867$	−1.52392	+	16.0149i	−0.0517550	+	0.543894i
$868$	5.40709	−	3.70164i	0.183529	−	0.125642i
$869$		−	0.183699i		−	0.00623158i
$870$	15.4070	−	27.6823i	0.522347	−	0.938516i
$871$	7.49638	+	35.2677i	0.254005	+	1.19500i
$872$	−10.8855	+	7.90878i	−0.368629	+	0.267825i
$873$	17.9236	+	15.5102i	0.606620	+	0.524941i
$874$	−0.103397	+	0.0596964i	−0.00349746	+	0.00201926i
$875$	11.2776	−	6.77907i	0.381253	−	0.229175i
$876$	−17.7218	+	20.0762i	−0.598763	+	0.678310i
$877$	−20.2390	−	45.4576i	−0.683424	−	1.53499i	−0.837205	−	0.546890i	$-0.815812\pi$
$877$	−20.2390	−	45.4576i	−0.683424	−	1.53499i	0.153781	−	0.988105i	$-0.450855\pi$
$878$	−5.71649	−	1.21508i	−0.192922	−	0.0410069i
$879$	16.2039	−	0.159594i	0.546542	−	0.00538299i
$880$	−0.0508806	−	0.458171i	−0.00171519	−	0.0154449i
$881$	2.16868	+	2.40856i	0.0730647	+	0.0811466i	0.778569	−	0.627559i	$-0.215946\pi$
$881$	2.16868	+	2.40856i	0.0730647	+	0.0811466i	−0.705504	+	0.708706i	$0.749279\pi$
$882$	−4.88873	+	16.1196i	−0.164612	+	0.542776i
$883$	4.57836	−	14.0908i	0.154074	−	0.474192i	−0.843992	−	0.536356i	$-0.819800\pi$
$883$	4.57836	−	14.0908i	0.154074	−	0.474192i	0.998066	+	0.0621646i	$0.0198004\pi$
$884$	15.8714	+	5.15694i	0.533814	+	0.173447i
$885$	−27.2546	−	36.2982i	−0.916152	−	1.22015i
$886$	5.96757	+	6.62765i	0.200484	+	0.222660i
$887$	33.0852	−	36.7449i	1.11089	−	1.23377i	0.141060	−	0.990001i	$-0.454949\pi$
$887$	33.0852	−	36.7449i	1.11089	−	1.23377i	0.969833	−	0.243771i	$-0.0783844\pi$
$888$	−2.95230	+	0.0290777i	−0.0990728	+	0.000975785i
$889$	2.14190	−	10.0768i	0.0718370	−	0.337966i
$890$	1.00386	−	3.15251i	0.0336495	−	0.105672i
$891$	−0.990286	−	1.56907i	−0.0331758	−	0.0525659i
$892$	11.3537	+	5.05501i	0.380151	+	0.169254i
$893$	−3.99691	−	6.92286i	−0.133752	−	0.231665i
$894$	−21.5048	+	30.2203i	−0.719229	+	1.01072i
$895$	3.52114	−	35.5082i	0.117699	−	1.18691i
$896$	0.244694	+	1.15119i	0.00817464	+	0.0384587i
$897$	−0.0350076	−	0.157075i	−0.00116887	−	0.00524458i
$898$	12.3729			0.412888
$899$	−34.6862	+	29.5152i	−1.15685	+	0.984387i
$900$	−1.09799	+	14.9598i	−0.0365995	+	0.498659i
$901$	3.78745	+	11.6566i	0.126178	+	0.388337i
$902$	−0.262073	−	1.23296i	−0.00872609	−	0.0410530i
$903$	−12.1248	+	7.16037i	−0.403487	+	0.238282i
$904$	0.960634	−	1.66387i	0.0319502	−	0.0553394i
$905$	−9.97375	+	48.3178i	−0.331539	+	1.60614i
$906$	−2.34617	−	1.32392i	−0.0779462	−	0.0439844i
$907$	−3.65033	+	5.02425i	−0.121207	+	0.166828i	−0.865309	−	0.501239i	$-0.832878\pi$
$907$	−3.65033	+	5.02425i	−0.121207	+	0.166828i	0.744102	+	0.668066i	$0.232878\pi$
$908$	−1.49128	+	0.663961i	−0.0494899	+	0.0220343i
$909$	10.6952	−	25.3544i	0.354737	−	0.840951i
$910$	9.22012	−	12.8486i	0.305644	−	0.425926i
$911$	34.2350	−	38.0218i	1.13426	−	1.25972i	0.172741	−	0.984967i	$-0.444738\pi$
$911$	34.2350	−	38.0218i	1.13426	−	1.25972i	0.961515	−	0.274751i	$-0.0885955\pi$
$912$	10.7426	−	7.96775i	0.355722	−	0.263839i
$913$	2.12798	+	0.223660i	0.0704260	+	0.00740207i
$914$	10.8500	−	33.3928i	0.358886	−	1.10454i
$915$	−12.0854	−	26.0345i	−0.399532	−	0.860674i
$916$	−1.27323	−	0.133822i	−0.0420687	−	0.00442160i
$917$	11.4141	+	12.6766i	0.376927	+	0.418619i
$918$	12.2782	−	7.58104i	0.405239	−	0.250212i
$919$	3.60093	+	34.2606i	0.118784	+	1.13015i	0.877782	+	0.479060i	$0.159022\pi$
$919$	3.60093	+	34.2606i	0.118784	+	1.13015i	−0.758999	+	0.651092i	$0.774311\pi$
$920$	−0.0204854	−	0.0278499i	−0.000675383	−	0.000918186i
$921$	−48.9916	+	16.4535i	−1.61433	+	0.542162i
$922$	17.2230	+	12.5132i	0.567209	+	0.412102i
$923$	−31.7443	+	71.2988i	−1.04488	+	2.34683i
$924$	0.174704	+	0.382216i	0.00574735	+	0.0125740i
$925$	7.82635	+	3.37482i	0.257329	+	0.110964i
$926$	5.37715	−	3.90673i	0.176704	−	0.128383i
$927$	0.451206	+	22.9036i	0.0148195	+	0.752252i
$928$	−2.52776	−	7.77964i	−0.0829777	−	0.255379i
$929$	−11.5052			−0.377475			−0.188737	−	0.982028i	$-0.560440\pi$
$929$	−11.5052			−0.377475			−0.188737	+	0.982028i	$0.560440\pi$
$930$	9.01210	−	19.5904i	0.295519	−	0.642393i
$931$	−43.3581			−1.42100
$932$	7.39816	+	22.7692i	0.242335	+	0.745830i
$933$	30.0175	−	3.45419i	0.982730	−	0.113085i
$934$	33.8908	−	24.6231i	1.10894	−	0.805693i
$935$	1.21518	−	0.402751i	0.0397408	−	0.0131714i
$936$	5.90757	+	17.0325i	0.193095	+	0.556726i
$937$	−21.3038	+	47.8491i	−0.695965	+	1.56316i	0.124983	+	0.992159i	$0.460112\pi$
$937$	−21.3038	+	47.8491i	−0.695965	+	1.56316i	−0.820948	+	0.571004i	$0.806554\pi$
$938$	−5.71281	−	4.15060i	−0.186530	−	0.135522i
$939$	−6.97585	−	20.7711i	−0.227648	−	0.677840i
$940$	1.86467	−	1.37158i	0.0608187	−	0.0447360i
$941$	2.85770	+	27.1892i	0.0931585	+	0.886344i	0.936901	+	0.349595i	$0.113681\pi$
$941$	2.85770	+	27.1892i	0.0931585	+	0.886344i	−0.843742	+	0.536748i	$0.819652\pi$
$942$	24.7488	−	22.7292i	0.806358	−	0.740557i
$943$	−0.0632556	−	0.0702525i	−0.00205989	−	0.00228774i
$944$	−11.6558	−	1.22507i	−0.379363	−	0.0398727i
$945$	−3.31504	−	13.2666i	−0.107838	−	0.431562i
$946$	0.440070	−	1.35440i	0.0143079	−	0.0440353i
$947$	−41.1757	−	4.32774i	−1.33803	−	0.140633i	−0.591672	−	0.806178i	$-0.701532\pi$
$947$	−41.1757	−	4.32774i	−1.33803	−	0.140633i	−0.746357	+	0.665546i	$0.768199\pi$
$948$	0.919412	+	1.23960i	0.0298611	+	0.0402604i
$949$	62.1683	−	69.0449i	2.01807	−	2.24129i
$950$	−37.6693	+	8.47094i	−1.22215	+	0.274834i
$951$	−14.6566	+	46.6674i	−0.475274	+	1.51330i
$952$	−2.98579	+	1.32936i	−0.0967699	+	0.0430847i
$953$	22.3858	−	30.8114i	0.725147	−	0.998079i	−0.274190	−	0.961675i	$-0.588410\pi$
$953$	22.3858	−	30.8114i	0.725147	−	0.998079i	0.999337	−	0.0364036i	$-0.0115902\pi$
$954$	−7.57002	+	10.8629i	−0.245088	+	0.351700i
$955$	−0.628914	+	3.04677i	−0.0203512	+	0.0985912i
$956$	−1.83792	+	3.18337i	−0.0594426	+	0.102958i
$957$	−1.48530	−	2.51507i	−0.0480128	−	0.0813008i
$958$	0.0818584	+	0.385114i	0.00264473	+	0.0124425i
$959$	0.0638005	+	0.196358i	0.00206023	+	0.00634072i
$960$	2.63648	+	2.83707i	0.0850919	+	0.0915662i
$961$	−22.0004	+	21.8399i	−0.709690	+	0.704514i
$962$	10.2434			0.330262
$963$	−0.122854	−	0.982334i	−0.00395892	−	0.0316553i
$964$	4.40782	+	20.7372i	0.141966	+	0.667899i
$965$	19.0097	+	1.88508i	0.611944	+	0.0606829i
$966$	0.0256795	+	0.0182735i	0.000826223	+	0.000587941i
$967$	23.6494	+	40.9619i	0.760513	+	1.31725i	0.942586	+	0.333962i	$0.108386\pi$
$967$	23.6494	+	40.9619i	0.760513	+	1.31725i	−0.182073	+	0.983285i	$0.558281\pi$
$968$	10.0102	+	4.45682i	0.321739	+	0.143247i
$969$	27.8459	+	24.5804i	0.894540	+	0.789635i
$970$	−16.8341	−	5.36053i	−0.540511	−	0.172116i
$971$	−4.35127	+	20.4711i	−0.139639	+	0.656949i	0.851526	+	0.524313i	$0.175678\pi$
$971$	−4.35127	+	20.4711i	−0.139639	+	0.656949i	−0.991165	+	0.132637i	$0.957656\pi$
$972$	14.5356	+	5.63172i	0.466230	+	0.180637i
$973$	13.3938	−	14.8753i	0.429384	−	0.476880i
$974$	1.33581	+	1.48357i	0.0428021	+	0.0475366i
$975$	4.32043	−	51.8625i	0.138364	−	1.66093i
$976$	−7.04832	−	2.29014i	−0.225611	−	0.0733055i
$977$	8.29428	−	25.5272i	0.265358	−	0.816687i	−0.726253	−	0.687427i	$-0.758740\pi$
$977$	8.29428	−	25.5272i	0.265358	−	0.816687i	0.991611	−	0.129259i	$-0.0412600\pi$
$978$	1.64168	−	8.11570i	0.0524950	−	0.259511i
$979$	−0.204107	−	0.226684i	−0.00652330	−	0.00724486i
$980$	−1.38576	−	12.4785i	−0.0442666	−	0.398612i
$981$	3.42784	−	40.2198i	0.109442	−	1.28412i
$982$	15.9514	+	3.39058i	0.509031	+	0.108198i
$983$	9.78644	+	21.9807i	0.312139	+	0.701075i	0.999686	−	0.0250645i	$-0.00797910\pi$
$983$	9.78644	+	21.9807i	0.312139	+	0.701075i	−0.687547	+	0.726140i	$0.741312\pi$
$984$	7.93939	+	7.00832i	0.253099	+	0.223417i
$985$	−4.01214	−	8.87070i	−0.127837	−	0.282644i
$986$	19.6729	−	11.3582i	0.626513	−	0.361717i
$987$	−1.22349	+	1.71934i	−0.0389440	+	0.0547273i
$988$	−37.5415	+	27.2755i	−1.19436	+	0.867750i
$989$	−0.0222056	−	0.104469i	−0.000706097	−	0.00332193i
$990$	1.13926	+	0.784006i	0.0362081	+	0.0249174i
$991$			21.7920i			0.692246i	0.938189	+	0.346123i	$0.112502\pi$
$991$			21.7920i			0.692246i	−0.938189	+	0.346123i	$0.887498\pi$
$992$	−2.12127	−	5.14783i	−0.0673505	−	0.163444i
$993$	41.5680	+	3.95547i	1.31912	+	0.125523i
$994$	−4.72339	−	14.5371i	−0.149817	−	0.461089i
$995$	−37.5328	−	21.3764i	−1.18987	−	0.677677i
$996$	−15.4790	+	9.14125i	−0.490472	+	0.289652i
$997$	−0.470188	−	0.271463i	−0.0148910	−	0.00859732i	0.492536	−	0.870292i	$-0.336070\pi$
$997$	−0.470188	−	0.271463i	−0.0148910	−	0.00859732i	−0.507427	+	0.861695i	$0.669403\pi$
$998$	−30.0473	+	17.3478i	−0.951130	+	0.549135i
$999$	5.72967	−	6.75450i	0.181279	−	0.213703i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bo.b.179.15	yes	256
3.2	odd	2		930.2.bo.a.179.19	yes	256
5.4	even	2		930.2.bo.a.179.18	✓	256
15.14	odd	2	inner	930.2.bo.b.179.14	yes	256
31.22	odd	30	inner	930.2.bo.b.239.14	yes	256
93.53	even	30		930.2.bo.a.239.18	yes	256
155.84	odd	30		930.2.bo.a.239.19	yes	256
465.239	even	30	inner	930.2.bo.b.239.15	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bo.a.179.18	✓	256	5.4	even	2
930.2.bo.a.179.19	yes	256	3.2	odd	2
930.2.bo.a.239.18	yes	256	93.53	even	30
930.2.bo.a.239.19	yes	256	155.84	odd	30
930.2.bo.b.179.14	yes	256	15.14	odd	2	inner
930.2.bo.b.179.15	yes	256	1.1	even	1	trivial
930.2.bo.b.239.14	yes	256	31.22	odd	30	inner
930.2.bo.b.239.15	yes	256	465.239	even	30	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bo (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-0.198005 - 1.72070i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.703473 + 2.12253i) q^{5} +(-1.57529 + 0.720038i) q^{6} +(-0.478693 + 1.07516i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.92159 + 0.681412i) q^{9} +O(q^{10})\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-0.198005 - 1.72070i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.703473 + 2.12253i) q^{5} +(-1.57529 + 0.720038i) q^{6} +(-0.478693 + 1.07516i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.92159 + 0.681412i) q^{9} +(1.80126 - 1.32494i) q^{10} +(-0.0215496 - 0.205030i) q^{11} +(1.17159 + 1.27569i) q^{12} +(-4.02101 - 4.46579i) q^{13} +(1.17046 + 0.123021i) q^{14} +(3.51293 - 1.63073i) q^{15} +(0.309017 - 0.951057i) q^{16} +(2.76184 + 0.290281i) q^{17} +(1.55088 + 2.56803i) q^{18} +(-5.16703 + 5.73856i) q^{19} +(-1.81671 - 1.30367i) q^{20} +(1.94481 + 0.610798i) q^{21} +(-0.188336 + 0.0838528i) q^{22} +(-0.00908797 + 0.0125085i) q^{23} +(0.851210 - 1.50846i) q^{24} +(-4.01025 + 2.98628i) q^{25} +(-3.00466 + 5.20422i) q^{26} +(1.75099 + 4.89224i) q^{27} +(-0.244694 - 1.15119i) q^{28} +(2.52776 + 7.77964i) q^{29} +(-2.63648 - 2.83707i) q^{30} +(2.12127 + 5.14783i) q^{31} -1.00000 q^{32} +(-0.348528 + 0.0776773i) q^{33} +(-0.577382 - 2.71637i) q^{34} +(-2.61881 - 0.259692i) q^{35} +(1.96309 - 2.26854i) q^{36} +(-0.852298 - 1.47622i) q^{37} +(7.05440 + 3.14082i) q^{38} +(-6.88809 + 7.80319i) q^{39} +(-0.678469 + 2.13065i) q^{40} +(-1.27121 + 5.98059i) q^{41} +(-0.0200763 - 2.03837i) q^{42} +(-4.62218 + 5.13345i) q^{43} +(0.137948 + 0.153207i) q^{44} +(-3.50157 - 5.72180i) q^{45} +(0.0147046 + 0.00477783i) q^{46} +(-0.319895 + 0.984536i) q^{47} +(-1.69767 - 0.343410i) q^{48} +(3.75709 + 4.17267i) q^{49} +(4.07936 + 2.89116i) q^{50} +(-0.0473722 - 4.80977i) q^{51} +(5.87799 + 1.24941i) q^{52} +(1.79512 + 4.03190i) q^{53} +(4.11171 - 3.17708i) q^{54} +(0.420023 - 0.189973i) q^{55} +(-1.01924 + 0.588456i) q^{56} +(10.8974 + 7.75462i) q^{57} +(6.61775 - 4.80808i) q^{58} +(-2.43672 - 11.4639i) q^{59} +(-1.88350 + 3.38414i) q^{60} -7.41104i q^{61} +(4.24037 - 3.60822i) q^{62} +(0.665916 - 3.46737i) q^{63} +(0.309017 + 0.951057i) q^{64} +(6.65009 - 11.6763i) q^{65} +(0.181577 + 0.307466i) q^{66} +(-5.19611 - 2.99998i) q^{67} +(-2.40500 + 1.38853i) q^{68} +(0.0233228 + 0.0131609i) q^{69} +(0.562275 + 2.57089i) q^{70} +(-5.28252 - 11.8647i) q^{71} +(-2.76414 - 1.16599i) q^{72} +(1.61610 + 15.3761i) q^{73} +(-1.14060 + 1.26676i) q^{74} +(5.93253 + 6.30913i) q^{75} +(0.807169 - 7.67970i) q^{76} +(0.230757 + 0.0749774i) q^{77} +(9.54981 + 4.13964i) q^{78} +(0.886172 + 0.0931405i) q^{79} +(2.23603 - 0.0131452i) q^{80} +(8.07136 - 3.98161i) q^{81} +(6.08071 - 0.639108i) q^{82} +(-2.15789 + 10.1521i) q^{83} +(-1.93240 + 0.648985i) q^{84} +(1.32675 + 6.06630i) q^{85} +(6.31053 + 2.80963i) q^{86} +(12.8859 - 5.88991i) q^{87} +(0.103080 - 0.178540i) q^{88} +(1.19702 - 0.869686i) q^{89} +(-4.35971 + 5.09833i) q^{90} +(6.72628 - 2.18550i) q^{91} -0.0154614i q^{92} +(8.43783 - 4.66936i) q^{93} +1.03520 q^{94} +(-15.8151 - 6.93023i) q^{95} +(0.198005 + 1.72070i) q^{96} +(-4.64404 - 6.39198i) q^{97} +(2.80744 - 4.86263i) q^{98} +(0.202669 + 0.584331i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

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